Find the radius of convergence centered at $c = 0$ for the following function. $\sqrt { 1 + x }$
A)3
B)2
C)0
D)1
E) $\infty$

Name: Find the radius of convergence centered at $c = 0$ for the following function. $\sqrt { 1 + x }$ A)3 B)2 C)0 D)1 E) $\infty$
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Question

Quizplus · Accepted Answer

The function $\sqrt{1+x}$ can be expanded into a power series using the binomial series expansion, which converges for $|x| < 1$. Thus, the radius of convergence is 1.

Find the Radius of Convergence Centered At c=0c = 0c=0 For the Following Function

Find the Radius of Convergence Centered At $c = 0$ For the Following Function