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Determine the constant k(if it exists), ...

Determine the constant k(if it exists), so that the following functions may be continuous:
`f(x) = {:{(kx^2, xle2),(3,x>2):}`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
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  2. Locate the points of discontinuity of the following functions: f(x) ...

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  3. Determine the constant k(if it exists), so that the following function...

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  4. Determine the constant k(if it exists), so that the following function...

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  5. For what choice of a and b are the following functions continuous? f...

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  6. Find the values of a and b so that the following function is continuou...

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  7. For what choice of a and b are the following functions continuous? f...

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  8. Examine for continuity the function :f(x) = {:{(sin^-1 |x|, x ne 0), (...

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  9. Let f(x)={{:(1, x le -1),(lambdax + mu, -1 < x < 3), (5, x ge3):}find ...

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  10. Examine the function [1-x]+[x-1] for continuity at x = 1.

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  11. Find the domain of continuity of the following functions: f(x) = (si...

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  12. Find the domain of the following functions: f(x) = log (1-x )+ sqrt(...

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  13. Find the domain of continuity of the following functions: f(f(x)), w...

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  14. Find the domain of continuity of the following functions: f(x) = | 2...

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  15. Given the function f(x) = 1/(x+2). Find the points of discontinuity of...

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  16. Find all the points of discontinuity of the function f(t) = (1/(t^2 + ...

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  17. Examine the following functions for continuity: f(x) = {:{(x cos (1/...

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  18. Examine for continuity and differentiability, each of the following fu...

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  19. Examine for continuity, each of the following functions: f(x) = {:{(...

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  20. Examine for continuity and differentiability, each of the following fu...

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