# Calculus Examples

, , ,

Step 1

Define such that .

Step 2

Step 2.1

Substitute for and for .

Step 2.2

Simplify.

Step 2.2.1

Replace with an approximation.

Step 2.2.2

Raise to the power of .

Step 3

Step 3.1

Substitute.

Step 3.2

Simplify.

Step 3.2.1

Multiply by .

Step 3.2.2

Add and .

Step 4

Step 4.1

Substitute.

Step 4.2

Add and .

Step 5

Step 5.1

Substitute for and for .

Step 5.2

Simplify.

Step 5.2.1

Replace with an approximation.

Step 5.2.2

Raise to the power of .

Step 6

Step 6.1

Substitute.

Step 6.2

Simplify.

Step 6.2.1

Multiply by .

Step 6.2.2

Add and .

Step 7

Step 7.1

Substitute.

Step 7.2

Add and .

Step 8

Continue in the same manner until the desired values are approximated.

Step 9

List the approximations in a table.