Use this list of basic taylor series and the identity sin2θ= 1 2 (1−cos(2θ)) to find the taylor series for f(x) = sin2(5x) based at 0.

Presumably you know the Taylor series for to be

We have by the double angle identity

So

and substituting for in the Taylor series above gives

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

if you need , reply with more info. u.