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MHT CET · Maths · Continuity and Differentiability

If fx=logsec2xcot2xforx0Kforx=0 is continuous at x=0 then K is

  1. A e-1
  2. B 1
  3. C e
  4. D 0
Verified Solution

Answer & Solution

Correct Answer

(B) 1

Step-by-step Solution

Detailed explanation

Since f(x) is continuous at x=0
f0=limx0logsec2xcot2x
k= limx0cot2xlog(1+tan2x) 
=limx0log(1+tan2x)tan2x
k=1
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