Question

If a dne 0, then lim x-> a (x^2 - a^2) / (x^4 -a^4) is ?

Answer 1

Dne is does not equal

Answer 2

You can factor the denominator. Use the difference of squares formula.

Answer 3

Right so I get 1 / (x^2 + a^2)

Answer 4

Yup, so when x approaches a, what do you get?

Answer 5

Yea I get stuck there everytime

Answer 6

When x=a, you get x^2=a^2, right?

So your fraction would becomes 1/(a^2 + a^2). Add up the terms in the denominator.

Answer 7

1 / 2a ^2

Answer 8

Correct.

Answer 9

Thanks

Answer 10

yw