- #1

EEristavi

- 108

- 5

## Homework Statement

Obtain Maclaurin Series for:

f(x) = sin(x

^{2})/x

## Homework Equations

f(x) = ∑f

^{(n)}(c) (x-c)

^{n}/ n! (for Maclaurin c = 0)

## The Attempt at a Solution

I know that sin(x

^{2}) = x

^{2}- (x

^{2*3}/3! +...

from the final answer I see, that this is just multiplied to 1/x.

This bothers me,

doesn't we have to expand 1/x also? Moreover, I see that every term for P(1/x) at x=0 is undefined => range must be (-∞, 0)∪(0, ∞)

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