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Question

If limxf(x)±, then limxf(x)= ?


A
0
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B
1
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C
indeterminate
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D
limxf(x)
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Solution

The correct option is C 0
limxf(x)=a, where a is a finite value.
It means function f(x) converges to a, when x
f(x) represents the slope at tangent at a point x

Here, the tangent at infinity is line
y=a, which parallel to x - axis.
Slope at is 0.

Hence, limxf(x)=0.

Mathematics

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