Integral discontinuities??

Calculus Level 4

Find the number of integral discontinuities of

f ( x ) = tan ⁡ ( x ) tan ⁡ − 1 ( 1 x − 1 ) x ( x − 2 ) ( x − 4 ) \large f(x)=\frac{\tan (x) \tan^{-1} \left( \frac{1}{x-1}\right)}{x(x-2)(x-4)}

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The answer is 4.

Pranjal Jain by Pranjal Jain , 23, India

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1 solution

Samarth Agarwal
Feb 11, 2017

For discontinuities no denominator should be 0. So x cannot be equal to 0,1,2,4

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