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CALCULUS 2 FINAL EXAM REVIEW | COMPLETE SOLUTIONS | 100% PASS
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CALCULUS 2 FINAL EXAM REVIEW | COMPLETE SOLUTIONS | 100% PASS McLaurin Series for 1/(1-x) - ∑xⁿ=1+x+x²+x³+x⁴+... R=1 McLaurin Series for e^x - ∑xⁿ/n!=1+x/1!+x²/2!+x³/3!+... R=infinity McLaurin Series for sinx - ∑(-1)ⁿ(x²ⁿ⁺¹)/(2n+1)!=x-x³/3!+x⁵/5!-x⁶/7!+... R=infi...

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  • September 20, 2024
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  • 2024/2025
  • Exam (elaborations)
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  • calculus 2 final exam review complete solutions

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  • -MATH
  • -MATH

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CALCULUS 2 FINAL EXAM REVIEW | COMPLETE SOLUTIONS |
100% PASS




McLaurin Series for 1/(1-x) - ∑xⁿ=1+x+x²+x³+x⁴+...
R=1

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

McLaurin Series for sinx - ∑(-1)ⁿ(x²ⁿ⁺¹)/(2n+1)!=x-x³/3!+x⁵/5!-x⁶/7!+...
R=infinity

McLaurin Series for cosx - ∑(-1)ⁿ(x²ⁿ)/(2n)!=1-x²/2!+x⁴/4!-x⁶/6!+...
R=infinity

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

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

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

The Alternating Series Test -

Integral Test -

Surface Area -

Limit Laws for Sequences -

Geometric Series -

Divergence Test -

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