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Question

Question: The point of discontinuity in \(\lim_{x \rightarrow 0}\frac{1 - \cos mx}{1 - \cos nx} =\) of f(x) = ...

The point of discontinuity in limx01cosmx1cosnx=\lim_{x \rightarrow 0}\frac{1 - \cos mx}{1 - \cos nx} = of f(x) = m/nm/n is

A

0

B

π/4

C

–π/4

D

None of these

Answer

0

Explanation

Solution

Here 1 – cos 4 x ≠ 0 ⇒ cos 4 x ≠ 1⇒ 4x ≠ 0, 2π, 4π 

⇒ x ≠ 0, π2\frac { \pi } { 2 }, π.... ;