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

Math
Take the limit of each term.
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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 limits by plugging in for all occurrences of .
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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 the answer.
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Simplify each term.
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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

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