Approximate the function using the corresponding Maclaurin polynomial: , in a bound . Determine a value of , so that the rest verifies for all

Well, the first thing that puzzles me a bit is that the order for and is the same. I assume that it is a mistake, and that the polynomial must be , or the rest . I have chosen to leave the degree of the polynomial as it was and turn up one grade to the rest.

So I have to find a delta for which any value within the environment is less than the error 0.0005

So I did:

So I must find x:

I must find x that satisfies the equation:

I don't know how to go ahead.

Bye there.