Padmanabh Das posted an Question
March 19, 2022 • 11:29 am 30 points
  • IIT JAM
  • Physics (PH)

Limx-->y(a^x-a^y)/(x-y).please share solution of limit problem.#limit#calculus

limx-->y(a^x-a^y)/(x-y).Please share solution of given problem of limits.Calculus.

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  • Padmanabh das

    Sir 2nd contradicts limit rule x tends to 0 and y should tend to 0 then only we get loga

  • Sachin

    just some substitution and find the attached solution.

    cropped6993140977294987517.jpg
    eduncle-logo-app

    yes I just realized after uploading it. but here is a more acceptable solution. take y as a parameter and x as variable. as on putting y you are getting 0/0 form. use L hospital rule and differentiate. then put the limits y at the place of x. and you will get a^y * ln a. then on putting y equal to zero you will get this answer given in this solution

    eduncle-logo-app

    ans is a^ylna

    eduncle-logo-app

    yes when y is a parameter.

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