Calculus Examples

Evaluate the Limit limit as h approaches 0 of h(2+5/h)
Step 1
Combine terms.
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
Combine the numerators over the common denominator.
Step 2
Set up the limit as a left-sided limit.
Step 3
Evaluate the limits by plugging in the value for the variable.
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Step 3.1
Evaluate the limit of by plugging in for .
Step 3.2
Since is undefined, the limit does not exist.
Step 4
Set up the limit as a right-sided limit.
Step 5
Evaluate the limits by plugging in the value for the variable.
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Step 5.1
Evaluate the limit of by plugging in for .
Step 5.2
Since is undefined, the limit does not exist.
Step 6
If either of the one-sided limits does not exist, the limit does not exist.