CALCULUS 2 FINAL EXAM REVIEW MATHEMATICS COURSE 2025/2026 | VERIFIED QUESTIONS AND ANSWERS GRADED A+ | INTEGRALS, SERIES & FUNCTIONS STUDY GUIDE | GUARANTEED SUCCESS

CALCULUS 2 FINAL EXAM REVIEW MATHEMATICS
COURSE 2025/2026 | VERIFIED QUESTIONS AND
ANSWERS GRADED A+ | INTEGRALS, SERIES &
FUNCTIONS STUDY GUIDE | GUARANTEED
SUCCESS


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 -
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!-x⁶/6!+...
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
Integral Test Remainder Estimate - CORRECT ANSWER - For integral
remainder 1/sqru(n^4+1) < 1/Sq(n^4) = 1/n^2
take integral of last one and b=inf and a=10