I am soo confused about this question!!

Mathematics

1 answer:

Ne4ueva [31]3 years ago

3 0

I think it’s just asking you to add the two functions (f + g)(x)

If f(x) = sqrt x + 3
And g(x) = x + 2

Then (f + g)(x) = (sqrt x + 3) + (x +2)

And I’m pretty sure that’s all you can simplify

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Rom4ik [11]

Answer:

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Step-by-step explanation:

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\sum_{n=1}^{\infty } ((-1^n)/n)x^n Find the interval of convergence.

Lorico [155]

Answer:

(-1,1).

Step-by-step explanation:

We need to calculate $\lim_{n \to \infty}\frac{| a_{n+1}|}{| a_{n}|} = \frac{1}{R}$ where R is the radius of convergence.

$\lim_{n \to \infty}\frac{\frac{|(-1)^{n+1}|}{|n+1|}}{\frac{|(-1)^{n}|}{|n|}}$

$\lim_{n \to \infty}\frac{\frac{1}{|n+1|}}{\frac{1}{|n|}}$

$\lim_{n \to \infty}\frac{|n|}{|n+1|}$

Applying LHopital rule we obtaing that the limit is 1. So $1=\frac{1}{R}$ then R = 1.

As the serie is the form $(x+0)^{n}$ we center the interval in 0. So the interval is (0-1,0+1) = (-1,1). We don't include the extrem values -1 and 1 because in those values the serie diverges.