Calculus Examples

Evaluate the Limit ( limit as x approaches e of natural log of x-1)/(x-e)
Step 1
Evaluate the limit.
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Step 1.1
Move the limit inside the logarithm.
Step 1.2
Split the limit using the Sum of Limits Rule on the limit as approaches .
Step 1.3
Evaluate the limit of which is constant as approaches .
Step 2
Evaluate the limit of by plugging in for .
Step 3
Multiply by .