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Math Help - Limit problem

  1. #1
    Member
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    Arrow Limit problem

    Hello everyone! I just started university calculus and am having problems with a problem (hehe). I would really appreciate some help

    PROBLEM:

    Let f(x) = √3x

    a)

    Calculate the limits given that x>0

    lim h -> 0 [f(x+h)-f(x)]/h = lim h-> 0 [
    √3(x+h) - √3x]/h

    by multiplying numerator and denominator with f(x+h) + f(x) =
    √[3(x+h)] + √3x and simplifying.

    b)
    Find the equation for the tangent for the graph f at point (3,3)



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  2. #2
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    Re: Limit problem

    Quote Originally Posted by Nora314 View Post
    PROBLEM:
    Let f(x) = √3x
    a)
    Calculate the limits given that x>0
    lim h -> 0 [f(x+h)-f(x)]/h = lim h-> 0 [
    √3(x+h) - √3x]/h[COLOR=#000000]
    Is it \sqrt{3}\,x, that is what you have written?

    Or is it \sqrt{3x}. If so please use proper grouping symbols.
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