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Math

Math Snap

PROBLEM

Find the limit as xx approaches 1 for the expression 23x2 - 3x.

STEP 1

Assumptions1. We are finding the limit as x approaches1 for the function (3x)(-3x).
. We are using the direct substitution method to find the limit.

STEP 2

In the direct substitution method, we substitute the value that x is approaching into the function.
limx1(2x)=2(1)\lim{x \rightarrow1}(2- x) =2-(1)

SOLUTION

Now, calculate the value of the expression after substituting x =1.
23(1)=23=12-3(1) =2-3 = -1The limit of the function (23x)(2-3x) as x approaches1 is -1.

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