Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If f(x) = 
is continuous at x = 
, then k is equal to
Text Solution
Verified by ExpertsThe correct answer is:
1
Ans. 1
Sol. y = 
(cot x) cosx
⇒ λ ny = 
cos x λ n(cot x) = 
⇒ λ ny = 
= 0
⇒ y = e 0 = 1
Now let y = 
(cosx) cotx
⇒ λ ny = 
cot x λ n cos x
⇒ λ ny = 
= 
= 
sin x cos x = 0 y = e 0 = 1
⇒ 
f(x) = 1
If function is continuous at x = 
, then
f(x) = f 
⇒ f 
= 1 ⇒ k = 1
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