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Calculus notes

Ron Larson, Bruce H. Edwards - ISBN: 9781337514507

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View all 10 notes for Calculus, written by Ron Larson, Bruce H. Edwards. All Calculus notes, flashcards, summaries and study guides are written by your fellow students or tutors. Get yourself a Calculus summary or other study material that matches your study style perfectly, and studying will be a breeze.

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The Fastest Way to Learn Everything You Need to Know About Limits
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Infinite limits
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In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero. ... As x approaches 2 from the left, the numerator approaches 5, and the denominator approaches 0 through negative values; hence, the function decreases without bound and .

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Finding limits by evaluation
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Evaluating Limits. Just Put The Value In. The first thing to try is just putting the value of the limit in, and see if it works (in other words substitution). Factors. We can try factoring. Conjugate. Infinite Limits and Rational Functions. L'Hôpital's Rule. Formal Method.

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Continuity and Discontinuity
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A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function's value. ... Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't equal.

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Limits by algebric manipulation and one sided limits
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A one-sided limit is the value the function approaches as the x-values approach the limit from *one side only*. For example, f(x)=|x|/x returns -1 for negative numbers, 1 for positive numbers, and isn't defined for 0. The one-sided *right* limit of f at x=0 is 1, and the one-sided *left* limit at x=0 is -1.

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Limits(rate of change & instanteous velocity)
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If f is a function of x, then the instantaneous rate of change at x=a is the limit of the average rate of change over a short interval, as we make that interval smaller and smaller. ... This is the slope of the line tangent to y=f(x) at the point (a,f(a))

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Calculus 2 notes homework questions with answers and breakdown of each problem. Super organized and easy to learn everything in calculus 2.

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The Fastest Way to Learn Everything You Need to Know About Limits
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This short document provides you with the all of the knowledge of mathematical limits you will ever need.

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  •  • 3 pages • 
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The Fastest Way to Learn Everything You Need to Know About Limits
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This short document will provide you with everything you will ever need to know about limits.

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Infinite limits
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In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero. ... As x approaches 2 from the left, the numerator approaches 5, and the denominator approaches 0 through negative values; hence, the function decreases without bound and .

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  • by jaddybill2 • 
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Finding limits by evaluation
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Evaluating Limits. Just Put The Value In. The first thing to try is just putting the value of the limit in, and see if it works (in other words substitution). Factors. We can try factoring. Conjugate. Infinite Limits and Rational Functions. L'Hôpital's Rule. Formal Method.

i See more info x
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Continuity and Discontinuity
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A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function's value. ... Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't equal.

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Limits by algebric manipulation and one sided limits
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A one-sided limit is the value the function approaches as the x-values approach the limit from *one side only*. For example, f(x)=|x|/x returns -1 for negative numbers, 1 for positive numbers, and isn't defined for 0. The one-sided *right* limit of f at x=0 is 1, and the one-sided *left* limit at x=0 is -1.

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Limits(rate of change & instanteous velocity)
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If f is a function of x, then the instantaneous rate of change at x=a is the limit of the average rate of change over a short interval, as we make that interval smaller and smaller. ... This is the slope of the line tangent to y=f(x) at the point (a,f(a))

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Home work problems with answers and notes
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Calculus 2 notes homework questions with answers and breakdown of each problem. Super organized and easy to learn everything in calculus 2.

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