The left hand limit of the function $f(x) = \left\{ {\begin{array}{*{20}{l}} {\frac{{|x - 4|}}{{x - 4}},}&{x \ne 4}\\ {0,}&{x = 4} \end{array}} \right.$ at $x=4$, is

JEE MATHEMATICS MCQ: LIMITS

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Understanding +4 | -1

The left hand limit of the function

f(x) = \left\{ {\begin{array}{llllllllllllllllllll} {\frac{{|x - 4|}}{{x - 4}},}&{x \ne 4}\\ {0,}&{x = 4} \end{array}} \right.

x=4

, is

View answer and explanation

Correct option: B

-1

Option A (Increasing on

(0, \pi / 2)

) is correct because the derivative of

f(x)

is positive on this interval, indicating that

f(x)

is monotonically increasing.

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