Question

Use the definition of Taylor series to find the Taylor series (centered at c) for the function.

Answer 1

Step 1:

The function .

Find the successive differentiation of .

Centered at .

Step 2:

Definition of Taylor series:

If a function has derivatives of all orders at then the series

is called Taylor series for at .

Substitute the above values in Taylor series.

.

Solution:.

Taylor series of is .