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Math Help - Limits

  1. #1
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    Limits

    I'm relearning all my calculus after not using it for years. I'm starting fresh with limits and I have a limit question.

    Please find the limit as s approaches a of (s^4 - a^4)\(s^2 - a^2). At first glance it looks like that when you plug in a to the s term then the limit is 0/0. However my book is saying the answer is 2a^2. How do they get to this answer?
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  2. #2
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    Quote Originally Posted by MrJoe2000 View Post
    I'm relearning all my calculus after not using it for years. I'm starting fresh with limits and I have a limit question.

    Please find the limit as s approaches a of (s^4 - a^4)\(s^2 - a^2). At first glance it looks like that when you plug in a to the s term then the limit is 0/0. However my book is saying the answer is 2a^2. How do they get to this answer?
    The numerator is the difference of squares

    \displaystyle s^4 - a^4=(s^2)^2-(a^2)^2=(s^2-a^2)(s^2+a^2)

    Now reduce the fraction to get (s^2+a^2)
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