Given the Fact That the Taylor Series About X = $e^{x}=1+\frac{x}{1 !}+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\cdots$

question 57

True/False

Given the fact that the Taylor series about x = 0 for $e^{x}=1+\frac{x}{1 !}+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\cdots$ , is the Taylor series about x = 0 for $e^{x / 4}=1+\frac{x}{4}+\frac{x^{2}}{32}+\frac{x^{3}}{384}+\cdots$ ?

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Definitions:

Checking Account

A bank account that allows for numerous withdrawals and deposits, making it ideal for daily transactions.

Bank Account

A financial account maintained by a bank or other financial institution in which the financial transactions between a customer and the bank are recorded.

Deposit

Money placed into a bank account or a sum paid in advance as security for the fulfillment of an arrangement.

Different Times

Occurring or existing at varying or distinct moments or periods.