# What is the Maclaurin Series for # f(x) = x^2ln(1+x^3) #?

# f(x) = x^5-x^8/2+x^11/3 - x^14/4... #

# " " = sum_(n=1)^(oo) \ (-1)^(n+1) \ x^(3n+2)/n #

Next, we have:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the Maclaurin series for f(x) using the definition of a Maclaurin series, of 4 sinh(4x)?
- How do you find the Taylor series of #f(x)=ln(x)# ?
- How do you find the radius of convergence #Sigma 1/(n!)x^(n^2)# from #n=[1,oo)#?
- What is the interval of convergence of #sum_1^oo ((5^n)*(x-1)^n)/n#?
- Use series to evaluate the limit #\lim_(x\rarr0)(x^2/2-1-\cos(x))/x^4#?

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