Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

binomial expansion with rational exponents

hello

I am asked to use bionomial expnasion in the following expressions

i) x[(1+x^2)^1/2] and ii) x^3/2[1-(e^-x)]

I self study and haven't seen any worked examples for binomial expansions with rational exponents. I am hoping that you will direct me at a link where such examples are available (I am well and trully stuck otherwise) or provide some help with how to tackle the particular examples.

The process when using fractional powers is no different to using the binomial expansion with integers.

(1 + x)^{n} = 1 + nx + \frac{n(n-1)}{2!}x^2 + \frac{n(n-1)(n-2)}{3!} x^3 + ..... +

Just pop in n = 1/2.

OP

right thanks :smile:

:smile:

can anyone help me understand why, in the above example, |x| must be < 1?

Latest

Trending

Trending

Articles for you

LaTex

What is an LLM and how could it benefit your career?

What is an LLM and how could it benefit your career?

Powerful questions business students forget to ask their career advisers

Powerful questions business students forget to ask their career advisers

Why I chose a law degree and what studying law was like

Why I chose a law degree and what studying law was like