Mathematics, 25.10.2020 07:10 ineedhelplolol

How do you do this question?

Answers

Answer from: kaylaanderson348

(a) C

(b) E

Step-by-step explanation:

aₙ = xⁿ / n!

aₙ₊₁ = xⁿ⁺¹ / (n+1)!

lim(n→∞)│aₙ₊₁ / aₙ│

lim(n→∞)│[xⁿ⁺¹ / (n+1)!] / [xⁿ / n!]│

lim(n→∞)│[xⁿ⁺¹ / (n+1)!] × [n! / xⁿ]│

lim(n→∞)│[xⁿ⁺¹ / xⁿ] × [n! / (n+1)!]│

lim(n→∞)│x / (n+1)│

x is a constant, so the limit equals 0 for all values of x. The limit is always less than 1, so the series is convergent.

Answer from: Quest

Ithink the answer is b

Answer from: Quest

idk

step-by-step explanation:

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