Question

# If limx→∞f(x)≠±∞, then limx→∞f′(x)= ?

A
0
B
1
C
indeterminate
D
limxf(x)

Solution

## The correct option is C 0limx→∞f(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, limx→∞f′(x)=0.Mathematics

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