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Find the Values Of K So that the Function F Is Continuous at the Indicated Point. F(X) = {(Kx +1, If X<= Pi),(Cos X, If X > Pi) At X = Pi - CBSE (Commerce) Class 12 - Mathematics

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Question

Find the values of so that the function f is continuous at the indicated point.

`f(x) = {(kx +1, if x<= pi),(cos x, if x > pi):} " at  x " = pi`

Solution

The given function is `f(x) = {(kx +1, "," if x<= pi),(cos x, ", "if x > pi):}`

The given function f is continuous at x = p, if f is defined at x = p and if the value of fat x = p equals the limit of f at x = p

It is evident that is defined at x = p and `f(pi) = kpi + 1`

Therefore, the required value of k  is `-2/pi`

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 5: Continuity and Differentiability
Q: 28 | Page no. 161
Solution Find the Values Of K So that the Function F Is Continuous at the Indicated Point. F(X) = {(Kx +1, If X<= Pi),(Cos X, If X > Pi) At X = Pi Concept: Algebra of Continuous Functions.
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