Split the limit using the Sum of Limits Rule on the limit as approaches .

Move the exponent from outside the limit using the Limits Power Rule.

Split the limit using the Sum of Limits Rule on the limit as approaches .

Move the exponent from outside the limit using the Limits Power Rule.

Evaluate the limit of which is constant as approaches .

Evaluate the limit of by plugging in for .

Evaluate the limit of which is constant as approaches .

Simplify each term.

Add and .

Rewrite the expression using the negative exponent rule .

Rewrite the expression using the negative exponent rule .

Combine the numerators over the common denominator.

Subtract from .

Divide by .

Evaluate limit as h approaches 0 of (9+h)^-1-9^-1