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March 27, 2017

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Find all discontinuities of the given function. Also, describe the discontinuities.

f(x)= [(x-8)^2(x+3)(2x^2+3x-5)]/[(x+4)^2(2x+5)(x-3)(x^2-1)]

  • calculus - ,

    your expression factors to

    [(-8)^2(x+3)(2x+5)(x-1)]/[(x+4)^2(2x+5)(x+1)(x-1)]

    So the graph is discontinuous at
    x = -4, -5/2, -1, 1

    There will be asymptotes at
    x=-4 and x=-1
    and holes at x= -5/2 and x=1

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