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) ÷ (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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Below are the 5 problems which I had trouble in. I can't seem to get the answer in the back of the book. Thanks for the help! lim (theta-pi/2)sec(theta) theta->pi/2 Answer: -1 I am not sure what to do here. lim (tan(theta))^(theta) …
  2. Pre-cal

    Please determine the following limits if they exist. If the limit does not exist put DNE. lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity lim 4n-3 / 3n^2+2 n-> infinity I did lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity (2+6x-3x²)/(4x²+4x+1) …
  3. Calc. Limits

    Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- infinity so lim x->0+ = + infinity?
  4. calc

    Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- infinity so lim x->0+ = + infinity?
  5. Calc Please Help

    Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- infinity so lim x->0+ = + infinity?
  6. Calculus

    Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so far: lim 5-x/(x^2-25) = lim 5-x/(x-5)(x+5) x-->5 x-->5 lim (1/x+5) = lim 1/10 x-->5 x-->5 I just wanted to double check with someone and see if the answer …
  7. calculus

    using the squeeze theorem, find the limit as x->0 of x*e^[8sin(1/x)] what i did was: -1<=sin(1/x)<=1 -8<=8*sin(1/x)<=8 e^(-8)<=e^[8*sin(1/x)]<=e^(8) x*e^(-8)<=x*e^[8*sin(1/x)]<=x*e^(8) lim x->0 [x*e^(-8)] …
  8. No one is helping me :/ ??

    If y = 3 is a horizontal asymptote of a rational function, which must be true?
  9. Math help

    If y = 3 is a horizontal asymptote of a rational function, which must be true?
  10. Algebra 2

    If y=3 is a horizontal asymptote of a rational function, which must be true?

More Similar Questions