Thread: Partial fractions

I'm stuck on b) iii) of this question. I'll show you what i have got so far.

the function f is given by f(x)=

a) express f(x) as a partial fraction.

I got

b) i) Find the first three terms in the expansion of

I got

b) ii) Obtain a similar expansion for

I got

where i am stuck on is b) iii)

Hence, or otherwise, obtain the first three terms in the expansion of f(x) in ascending powers of x

Hello Beard

Originally Posted by Beard

I'm stuck on b) iii) of this question. I'll show you what i have got so far.

the function f is given by f(x)=

a) express f(x) as a partial fraction.

I got

b) i) Find the first three terms in the expansion of

I got

b) ii) Obtain a similar expansion for

I got

where i am stuck on is b) iii)

Hence, or otherwise, obtain the first three terms in the expansion of f(x) in ascending powers of x

But you've done all the hard work! - and you've done it right so far. You're going to kick yourself, I think, because all you need to do is to use your Partial Fractions answer:



together with your answers to b(i) and b(ii) to write the answer down. Can you see it now?

Grandad

I don't feel too bad considering I haven't done this thing for ages but it was a nice little reminder. Thanks.