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Calculate the limits in Exercises 25-28, using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.

localid="1648227587052" limx032x2-4x+1.

Short Answer

Expert verified

The value of limx032x2-4x+1is,3.

Step by step solution

01

Step 1. Given information

limx032x2-4x+1.

02

Step 2. The limit is calculated as below,

limx032x2-4x+1=limx03limx0(2x2-4x+1)[Quotient rule]

=limx03limx0(2x2)-limx04x+limx0(1)[Sum rule]

=3(2·0)-(4·0)+1=31=3

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