# Taylor expansionWatch

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#1
Hey all, need a quick bit of help with a taylor expansion problem.

I am asked to use a Taylor expansion on small parameter y/x, assuming y<<x, on the following;

y/(y^2+x^2)^(3/2)

I assume i am meant to rewrite the denominator in a form where y/x appears and then use a taylor expansion.

Athough i have no idea how to use the taylor expansion on this..... Can anyone help me?
0
5 years ago
#2
(Original post by Swaggoholic)
Hey all, need a quick bit of help with a taylor expansion problem.

I am asked to use a Taylor expansion on small parameter y/x, assuming y<<x, on the following;

y/(y^2+x^2)^(3/2)

I assume i am meant to rewrite the denominator in a form where y/x appears and then use a taylor expansion.

Athough i have no idea how to use the taylor expansion on this..... Can anyone help me?
factorize x2 out of the denominator
0
5 years ago
#3
(Original post by Swaggoholic)
Hey all, need a quick bit of help with a taylor expansion problem.

I am asked to use a Taylor expansion on small parameter y/x, assuming y<<x, on the following;

y/(y^2+x^2)^(3/2)

I assume i am meant to rewrite the denominator in a form where y/x appears and then use a taylor expansion.

Athough i have no idea how to use the taylor expansion on this..... Can anyone help me?

then note that
0
#4
(Original post by atsruser)

then note that
How do i proceed from here?
What is the Taylor expansion do we use?
0
5 years ago
#5
(Original post by Swaggoholic)
How do i proceed from here?
1. Distribute the power 3/2 over the product in the denominator and then rewrite the fraction as a product. (Hint: negative powers)

What is the Taylor expansion do we use?
2. You use the Taylor expansion of at , which is more commonly called the Binomial expansion/series.
0
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