CALCULUS 2 FINAL EXAM REVIEW ANSWERED -1.

CALCULUS 2 FINAL EXAM REVIEW ANSWERED #1
Mclaurin Series for 1/(1-x) - correct answer ∑xⁿ=1+x+x²+x³+x⁴+...
R=1

Mclaurin Series for e^x - correct answer ∑xⁿ/n!=1+x/1!+x²/2!+x³/3!+...
R=infinity

Mclaurin Series for sinx - correct answer ∑(-1)ⁿ(x²ⁿ⁺¹)/(2n+1)!=x-x³/3!+x⁵/5!-x⁷/7!+...
R=infinity

Mclaurin Series for cosx - correct answer ∑(-1)ⁿ(x²ⁿ)/(2n)!=1-x²/2!+x⁴/4!-x ⁶/6!+...
R=infinity

Conditionally Convergent - correct answer A series is ∑ a_n is called conditionally
convergent if it is convergent but not absolutely convergent.

Absolutely Convergent - correct answer 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 answer L=1 (nothing) L<1 (converges) L>1 (diverges)

Ratio Test - correct answer L=1 (nothing) L<1 (converges) L>1 (diverges)

The Alternating Series Test - correct answer

Integral Test - correct answer

Surface Area - correct answer

Limit Laws for Sequences - correct answer

Geometric Series - correct answer

Divergence Test - correct answer

P-Series Test - correct answer

SA Rotation about x-axis - correct answer f(x)

SA Rotating about y-axis - correct answer x

Alternating Series Estimation - correct answer