Limit as x approaches 9 of x^2 -81/sqrt of x – 3

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Limit as x approaches 9 of x^2 -81/sqrt of x – 3

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Phúc Điền 5 months 2021-08-13T01:48:35+00:00 1 Answers 6 views 0

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  1. diemkieu
    0
    2021-08-13T01:49:50+00:00
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    Answer:

    108

    Step-by-step explanation:

    Limit as x approaches 9 of x^2 -81/sqrt of x – 3

    First substitute x into the expression

    = 9²-81/√9 – 3

    = 81-81/3-3

    = 0/0 (indeterminate)

    Apply l’hospital rule

    = lim x -> 9 d/dx(x²-81)/√x – 3

    = lim x -> 9 2x/1/2√x

    Substitute x = 9

    = 2(9)/1/2√9

    =18/1/(2(3)

    =18 × 6/1

    = 108

    Hence the limit of the function is 108

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