Evaluate the Limit

Problem

(lim_x→0)((x3−6*x+8)/(x−2))

Solution

1. Identify the type of limit by substituting the value x=0 into the expression.

2. Substitute 0 for x in the numerator and the denominator.

x3−6*x+8→0−6*(0)+8=8

x−2→0−2=−2

3. Evaluate the resulting fraction since the denominator is not zero.

8/(−2)=−4

Final Answer

(lim_x→0)((x3−6*x+8)/(x−2))=−4

Want more problems? Check here!