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Find the values of k so that the functio...

Find the values of k so that the function f is continuous at the indicated point : `f(x)={(kx^2,,,, if x le2),(3,,,, if x>2):}` at `x=2`

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Examine the continuity of f, where f is defined by : f(x)={(sinx-cosx,...

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  2. Find the values of k so that the function f is continuous at the indic...

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  3. Find the values of k so that the function f is continuous at the indic...

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  4. Find the values of k so that the function f is continuous at the indic...

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  5. Find the values of k so that the function f is continuous at the indic...

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  6. Find the values of a and b such that the function defined by : f(x)={(...

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  7. Show that the function defined by f(x) = cos(x^2) is a continuous func...

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  8. Show that the function defined by f(x) = |cosx| is a continuous functi...

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  9. Examine the continuity of the function 'f' at x = 0, if f(x) ={(x sin(...

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  10. Find all the points of discontinuity of f defined by f(x) = |x|-|x+1|

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  11. Differentiate the functions with respect to x: sin(x^2 + 5)

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  12. Differentiate the functions with respect to x: cos(sinx)

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  13. Differentiate the functions with respect to x: sin(ax+b)

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  14. Differentiate the functions with respect to x: sec(tan(sqrtx))

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  15. Differentiate the functions with respect to x: (sin(ax+b))/(cos(cx+d))

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  16. Differentiate the functions with respect to x: cos x^3 cdot sin^2 (x^5...

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  17. Differentiate the functions with respect to x: 2sqrt(cot(x^2))

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  18. Differentiate the functions with respect to x: cos(sqrtx)

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  19. Prove that the function f given by f(x) = |x-1|, x in R, x=1 is not di...

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  20. Prove that the greatest integer function defined by f(x) = [x], 0<x<3,...

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