Guidelines for finding a taylor series.

1. Differentiate several times and evaluate each derivative at t.

try to recognize a pattern in these numbers.

2. Use the sequence developed in the first step to form the taylor coefficients a , and determine the interval of convergence for the resulting power series.

.

3. With in this interval of convergence , determine whether the series converges to .

Guidelines for finding a taylor series.

1. Differentiate several times and evaluate each derivative at t.

try to recognize a pattern in these numbers.

2. Use the sequence developed in the first step to form the taylor coefficients a , and determine the interval of convergence for the resulting power series.

.

3. With in this interval of convergence , determine whether the series converges to .