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Chapter 14: Q. 4 (page 883)

True or False The limit of a polynomial function as xapproaches 5equals the value of the polynomial at 5

Short Answer

Expert verified

True

Step by step solution

01

Step 1. Limit of a polynomial theorem

IfP(x) is a polynomial function then,

limx鈫�cP(x)=P(c).

02

Step 2. Theorem in words

To find the limit of a polynomial as xapproaches call we need to do is evaluate the polynomial at c.

Therefore the statement "the limit of a polynomial function as xapproaches 5equals the value of the polynomial at 5" is TRUE.

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Most popular questions from this chapter

Use a graphing utility to find the indicated limit rounded to two decimal places.

limx鈫�-1x3+2x2+xx4+x3+2x+2

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�0f(x),f(x)=exifx>01-xifx鈮�0

If we only approach c from one side, then we have a(n) ___________limit.

True or False For any function f, and any real number c,limx鈫�c-f(x)=limx鈫�c+f(x).

limx鈫�cb=_____.
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