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Find the Values Of K So that the Function F Is Continuous at the Indicated Point.F(X) = {(Kxsqrt2, If X<= 2),(3,If X > 2) at X = 2 - Mathematics

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

`f(x) = {(kx^2, "," if x<= 2),(3, "," if x > 2):} " at x" = 2`

 

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Solution

The given function is `f(x) = {(kx^2, "," if x<= 2),(3, "," if x > 2):} `

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

It is evident that is defined at x = 2 and `f(2) = k(2)^2 = 4k`

Therefore, the required value of  `k= 3/4`

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APPEARS IN

NCERT Class 12 Maths
Chapter 5 Continuity and Differentiability
Q 27 | Page 161
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