Asked by Anonymous
If a ≠ 0, then the limit of (x^2 - a^2)/(x^4 - a^4) as x approaches a is:
How do I do this type of problem?
How do I do this type of problem?
Answers
Answered by
Reiny
A simple case of factoring will do the job
limit (x^2 - a^2)/(x^4 - a^4) , x ---> a
= lim (x^2 - a^2)/( (x^2 + a^2)(x^2 - a^2)
= lim 1/(x^2 + a^2) , as x --> a
= 1/(2a^2)
limit (x^2 - a^2)/(x^4 - a^4) , x ---> a
= lim (x^2 - a^2)/( (x^2 + a^2)(x^2 - a^2)
= lim 1/(x^2 + a^2) , as x --> a
= 1/(2a^2)
Answered by
Anonymous
How did you simplify 1/(x^2 + a^2) as 1/(2a^2)?
Answered by
Anonymous
Never mind, I got it.
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