Two continuous functions f(x) and g(x), is it possible that I expand f(g(x)) at g(0) using a series of g(x)?

Liam Potter

Liam Potter

Answered question

2022-09-20

Two continuous functions f ( x ) and g ( x ), is it possible that I expand f ( g ( x ) ) at g ( 0 ) using a series of g ( x )?
For example,
f ( g ( x ) ) = f ( g ( 0 ) ) + f ( g ( 0 ) ) g ( x ) + f ( g ( 0 ) ) 2 g 2 ( x ) +
In my case, g ( x ) = e x 2 ( 0 x 1 ).

Answer & Explanation

Marvin Hughes

Marvin Hughes

Beginner2022-09-21Added 6 answers

You need the derviatives of f at g ( 0 ).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?