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Prove that the function f(x)= 5x-3 is co...

Prove that the function `f(x)= 5x-3` is continuous at x=0, at `x= -3" and at " x=5`.

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Knowledge Check

  • If the function f(x)=(log(1+ax)-log(1-bx))/(x) is continuous at x=0, then f(0)=

    A
    a-b
    B
    a+b
    C
    loga+ log b
    D
    loga-logb

  • I. The function f(x)=sqrtx" is continuous at x=0" II. The function f(x)=|x| is continuous at x=0.

    A
    only I is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true

  • The function f(x) =x^5-5x^4+5x^3-1 has

    A
    one minimum and two maxima
    B
    two minima and one maximum
    C
    two minima and two maxima
    D
    one minimum and one maximum

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