Question

all the questions are related to the topic of sequence and series and Taylor series from calculus 2.

for question 1 I know the answer so you don't have to solve it. the answer is positive and decreasing.

for question 2 please show work.

for question 3 just answer with converges - diverges - inconclusive.

for question 4 please show work.

Homework DUE MONDAY NOV 20 1. In order to use the Integral Test what are two conditions that must be true about f(x) continuous? 2. Find the radius and interval of convergence for Σ003 (z+2)24" i 3. Conclude CONVERGE/DIVERGE/INCONCLUSIVE regarding the following series based on the given information. A. Σ003 an given that Σ.. 3 la,l = 00. B. Σ001bn given that Σ | Ibnl = 4. C. Σ002Cn given that limn→ooCn-1/3. 4. Find the 3rd degree Taylor polynomial for f(x) = e1-2c at :=-1. Simplify the coefficients. No calculators.