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Chapter 6: Q. 2 (page 418)

True or False If x=3is a vertical asymptote of a rational function R, then localid="1646480330211" limx鈫�3R(x)=鈭�.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Step 1. Concept Used

It is known that as xapproaches some number c, the values of R(x)鈫�鈭�, then the line x=cis a vertical asymptote of the graph of R.

02

Step 2. Check whether the statement is true

The notation limx鈫�3R(x)=鈭�can be read as xtends to 3the value of R(x)tends to 鈭�.

So using the above information it can be said that the line x=3is a vertical asymptote of the rational function R.

So the given statement is true.

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