Calculus 2 Final Exam Review Latest
Update With Correct Solutions!!
McLaurin Series for 1/(1-x) CORRECT ANSWERS ∑xⁿ=1+x+x²+x³+x⁴+...
R=1
McLaurin Series for e^x CORRECT ANSWERS ∑xⁿ/n!=1+x/1!+x²/2!+x³/3!+...
R=infinity
McLaurin Series for sinx CORRECT ANSWERS ∑(-1)ⁿ(x²ⁿ⁺¹)/(2n+1)!=x-x³/3!+x⁵/5!-x⁷/7!
+...
R=infinity
McLaurin Series for cosx CORRECT ANSWERS ∑(-1)ⁿ(x²ⁿ)/(2n)!=1-x²/2!+x⁴/4!-x ⁶/6!+...
R=infinity
Conditionally Convergent CORRECT ANSWERS A series is ∑ a_n is called
conditionally convergent if it is convergent but not absolutely convergent.
Absolutely Convergent CORRECT ANSWERS A series ∑ a_n is called Absolutely
convergent if the series of absolute values ∑ |a_n| is convergent
also if the series is absolutely convergent it is also convergent.
Root Test CORRECT ANSWERS L=1 (nothing) L<1 (converges) L>1 (diverges)
Ratio Test CORRECT ANSWERS L=1 (nothing) L<1 (converges) L>1 (diverges)
The Alternating Series Test CORRECT ANSWERS
Integral Test CORRECT ANSWERS
Surface Area CORRECT ANSWERS
Limit Laws for Sequences CORRECT ANSWERS
Geometric Series CORRECT ANSWERS
Divergence Test CORRECT ANSWERS
P-Series Test CORRECT ANSWERS
SA Rotation about x-axis CORRECT ANSWERS f(x)
Update With Correct Solutions!!
McLaurin Series for 1/(1-x) CORRECT ANSWERS ∑xⁿ=1+x+x²+x³+x⁴+...
R=1
McLaurin Series for e^x CORRECT ANSWERS ∑xⁿ/n!=1+x/1!+x²/2!+x³/3!+...
R=infinity
McLaurin Series for sinx CORRECT ANSWERS ∑(-1)ⁿ(x²ⁿ⁺¹)/(2n+1)!=x-x³/3!+x⁵/5!-x⁷/7!
+...
R=infinity
McLaurin Series for cosx CORRECT ANSWERS ∑(-1)ⁿ(x²ⁿ)/(2n)!=1-x²/2!+x⁴/4!-x ⁶/6!+...
R=infinity
Conditionally Convergent CORRECT ANSWERS A series is ∑ a_n is called
conditionally convergent if it is convergent but not absolutely convergent.
Absolutely Convergent CORRECT ANSWERS A series ∑ a_n is called Absolutely
convergent if the series of absolute values ∑ |a_n| is convergent
also if the series is absolutely convergent it is also convergent.
Root Test CORRECT ANSWERS L=1 (nothing) L<1 (converges) L>1 (diverges)
Ratio Test CORRECT ANSWERS L=1 (nothing) L<1 (converges) L>1 (diverges)
The Alternating Series Test CORRECT ANSWERS
Integral Test CORRECT ANSWERS
Surface Area CORRECT ANSWERS
Limit Laws for Sequences CORRECT ANSWERS
Geometric Series CORRECT ANSWERS
Divergence Test CORRECT ANSWERS
P-Series Test CORRECT ANSWERS
SA Rotation about x-axis CORRECT ANSWERS f(x)
