AP Calc BC Chapter 1 Limits UPDATED ACTUAL Exam Questions and CORRECT Answers

AP Calc BC Chapter 1 Limits UPDATED
ACTUAL Exam Questions and CORRECT
Answers
Limit - CORRECT ANSWER - lim f(x) x->c =L if f(x) becomes arbitrarily close to a single
number L as x approaches c from either side, then the limit of f(x) as x approaches c is L


Use the equation that has the limit number as part of its domain - CORRECT ANSWER -
How do you solve a piecewise limit


Split it into a piecewise with one being negative and the other as positive with the domain
restrictions if it applies - CORRECT ANSWER - How do you solve a limit with an absolute
value


lim of (f(x)-f(c))/(x-c) as x approaches c - CORRECT ANSWER - What is the first definition
of a derivative


lim of (f(x+h)-f(x))/h as h approaches 0 - CORRECT ANSWER - What is the second
definition of a derivative


Pull down the exponent, multiply it by the coefficient then subtract one from the exponent. -
CORRECT ANSWER - What is the power rule in finding a derivative



c*lim f(x) as x approaches a - CORRECT ANSWER - What is an equivalent of the following
function:
lim [c*f(x)] x→a


lim f(x) as x approaches a +- lim g(x) as x approaches a - CORRECT ANSWER - What is an
equivalent of the following function:
lim [f(x)+-g(x)] as x approaches a

, lim f(x) as x approaches a * lim g(x) as x approaches a - CORRECT ANSWER - What is an
equivalent of the following function:
lim [f(x)*g(x)] as x approaches a


lim f(x) as x approaches a / lim g(x) as x approaches a, lim g(x) as x approaches a is not equal to
0 - CORRECT ANSWER - What is an equivalent of the following function:
lim f(x)/g(x) as x approaches a


c - CORRECT ANSWER - What is an equivalent of the following function:
lim c as x approaches a


p(a) - CORRECT ANSWER - What is an equivalent of the following function:
lim p(x) as x approaches a


n root (lim f(x) as x approaches a) - CORRECT ANSWER - What is an equivalent of the
following function:
lim n root (f(x))


Graph it, plug in, factor, rationalize, LCD, absolute value to split it up - CORRECT
ANSWER - What are methods to find the limit of a function


When you can't find the limit using other methods and the function usually has a sin or cos -
CORRECT ANSWER - When do you use the squeeze theorem



Tangent - CORRECT ANSWER - What type of line is this



Secant - CORRECT ANSWER - What type of line is this