Q1:
Consider the function .
Find .
Find , where represents the th derivative of with respect to .
Hence, derive the Maclaurin series for .
What is the radius of convergence of the Maclaurin series for ?
Q2:
Consider the function .
What are the first four derivatives of with respect to ?
Write the general form for the th derivative of with respect to .
Hence, derive the Maclaurin series for .
What is the radius of convergence of the Maclaurin series for ?
Q3:
Consider the function .
What are the first four derivatives of with respect to ?
Write the general form for the th derivative of with respect to .
Hence, derive the Maclaurin series for .
What is the radius of convergence of the Maclaurin series for ?