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math

posted by .

Is the answer is correct ??

lim ((x^10)-1)/(x-1)
x-->0

is the answer is 1 ???

  • math -

    Yes, the limit is 1. The problem for this function is when x>>1

  • math -

    thanks

  • math -

    if it is 1 how would be the answer ???

  • math -

    There is no problem with
    lim ((x^10)-1)/(x-1)
    x-->0

    because you can substitute x=0 and get 1 as bobpursley said.

    You probably meant
    lim ((x^10 - 1)/(x-1)
    x-->1

    In that case (x^10 - 1) รท (x-1)
    = x^9 + x^8 + ... + x + 1

    and you have
    lim x^9 + x^8 + ... + x + 1
    x-->1

    = 10

  • math -

    What do you mean by "how would be the answer"? The answer to this problem is 1.

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