Thread: Taylor series approximation and error

The question:

For small values of , how good is the approximation ?

By "small values", how small does the question want x to be? Less than 1? Less than 0.1? Less than 0.01?

Also, how do I proceed to get an approximation of the error? After expressing in terms of its Taylor series, at a point , I get the error term in terms of .

Any help to extend my reasoning would be much appreciated.

Originally Posted by shailen.sobhee

The question:

For small values of , how good is the approximation ?

I assume you mean "For small values of x".

As an approximation, not too good ... as x gets close to 0 , cos x approaches 1

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