Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
The past exam paper of Calculus, key points are: Individual Terms, Solution, Passes, Second Degree, Taylor Polynomial, Estimate, Largest Possible Error, Previous Estimate, Comparison, Integral
Typology: Exams
1 / 4
This page cannot be seen from the preview
Don't miss anything!
MATH 106 Final Exam Review, Part II
โซ (^) โ 1
7 + 5 sin x x^2 dx
(b)
โซ (^) โ 1 โ 3 1 + 3x^2 + 2x^3 10 x^12 + 17x^10 dx
(a) ak = 3 + (^101) k (b) ak = (โ1)k (c) ak = 3 + 5 7 + 2kk
(a) If the individual terms of a series approach 0 ( lim nโโ an = 0), then the series nโ^ โ=1 an will converge (always/sometimes/never). (b) If the individual terms of a series approach 0.5 ( lim nโโ an = 0.5), then the series nโ^ โ=1 an will converge (always/sometimes/never). (c) If the individual terms of an alternating series approach 0 ( lim nโโ an = 0.5), then the series nโ^ โ=1 an will converge (always/sometimes/never). (d) If the individual terms of a geometric series approach 0 ( lim โ nโโ an = 0), then the series โ n=1^ an^ will converge (always/sometimes/never). (e) If the ratio of the terms of a series approaches 1 ( lim nโโ^ an a+1n = 1), then the series nโ^ โ=1 an will converge (always/sometimes/never). (f) If the ratio of the terms of a series approaches 0.5 ( lim nโโ^ a an+1n = 0.5), then the series โ^ โ n=1^ an^ will converge (always/sometimes/never). (g) If a series has all positive terms, then it will converge to 0 (always/sometimes/never).
โซ (^1) 0 eโx
(^2) dx and show that it converges.
