Write out the first four terms of the Maclaurin series of f(x) if

f(0)=−1 f'(0)=−11 f''(0)=5 f'''(0)=8


f(x) = +......

Using the definition of a Maclaurin series,
f(x) = f(0) + f '(0) x + f ''(0) x^2/2! + f '''(0) x^3/3! + ...
.....= -1 + (-11)x + 5x^2/2! + 8x^3/3! + ...
.....= -1 - 11x + (5/2) x^2 + (4/3) x^3 + ...

I hope this helps!

Use the Maclurin formula is very simple you can do this on your own