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Find the Values Of K So that the Function F Is Continuous at the Indicated Point. F(X) = {((Kcosx)/(Pi-2x), If X != Pi/2),(3, If X = Pi/2) at X Pi/2 - CBSE (Science) 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) = {((kcosx)/(pi-2x), "," if x != pi/2),(3, "," if x = pi/2):}  " at x ="  pi/2` 

Solution 1

The given function f is `f(x) = {((kcosx)/(pi-2x), "," if x != pi/2),(3, "," if x = pi/2):}  " at x "  pi/2` 

Solution 2

The given function f is `f(x) = {((kcosx)/(pi-2x), "," if x != pi/2),(3, "," if x = pi/2):}`

The given function f is continuous at ,`x= pi/2` if f is defined at `x= pi/2`and if the value of the f at `x= pi/2` equals the limit of f at `x= pi/2`

It is evident that is defined at `x= pi/2` and `f(pi/2) = 3`

Therefore, the required value of k is 6.

  Is there an error in this question or solution?

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 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 5: Continuity and Differentiability
Q: 26 | Page no. 161
Solution Find the Values Of K So that the Function F Is Continuous at the Indicated Point. F(X) = {((Kcosx)/(Pi-2x), If X != Pi/2),(3, If X = Pi/2) at X Pi/2 Concept: Algebra of Continuous Functions.
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