## Related questions with answers

Question

Find the second Taylor polynomial of $x(x+1)^{3 / 2}$ at x=0.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 5To find the second Taylor polynomial at $x=0$, use the formula for the Taylor polynomial with substituting $k=2$ and $c=0$:

$p_n(x)=f(c)+\dfrac{f'(c)}{1!}(x-c)+\dfrac{f''(c)}{2!}(x-c)^2+...+\frac{f^{(n)}(c)}{n!}(x-c)^n$

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