Calculus Examples

Evaluate the Limit limit as t approaches 6 of 8(t-5)(t-7)
Step 1
Move the term outside of the limit because it is constant with respect to .
Step 2
Split the limit using the Product of Limits Rule on the limit as approaches .
Step 3
Split the limit using the Sum of Limits Rule on the limit as approaches .
Step 4
Evaluate the limit of which is constant as approaches .
Step 5
Split the limit using the Sum of Limits Rule on the limit as approaches .
Step 6
Evaluate the limit of which is constant as approaches .
Step 7
Evaluate the limits by plugging in for all occurrences of .
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Step 7.1
Evaluate the limit of by plugging in for .
Step 7.2
Evaluate the limit of by plugging in for .
Step 8
Simplify the answer.
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Step 8.1
Multiply by .
Step 8.2
Subtract from .
Step 8.3
Multiply by .
Step 8.4
Multiply by .
Step 8.5
Subtract from .
Step 8.6
Multiply by .