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

Move the limit inside the absolute value signs.

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

Evaluate the limit of by plugging in for .

Evaluate the limit of by plugging in for .

Evaluate the limit of which is constant as approaches .

Subtract from .

The absolute value is the distance between a number and zero. The distance between and is .

Multiply by .

Evaluate limit as t approaches 4 of t|t-4|