Question

Find the indicated limits.
lim x ->-2 x + 2/x^2 - 4

Answer 1

@electrokid can u help?

Answer 2

could you rewrite it using the equation editor

Answer 3

yes hold on

Answer 4

factor, and cancel
then replace \(x\) by \(-2\)

Answer 5

\[\lim_{x \rightarrow -2} x + 2/x^2 - 4 \]

Answer 6

hmm you mean
\[\lim_{x\to-2}\frac{x+2}{x^2-4}\]
can we factor the denominator?
\(a^2-b^2=(a+b)(a-b)\)

Answer 7

yes

Answer 8

\[\lim_{x\to-2}\frac{x+2}{(x+2)(x-2)}\]

Answer 9

now, since \[x\to-2,\quad x+2\ne0\]
and hence can be cancelled from numerator and denominator

Answer 10

\[\lim_{x\to-2}\frac{\cancel{x+2}}{\cancel{(x+2)}(x-2)}=\lim_{x\to-2}\frac{1}{x-2}\]

Answer 11

ok

Answer 12

now, you can substitute the value fr "x"

Answer 13

okay :)

Answer 14

so its 1/-4

Answer 15

yes

Answer 16

you can only cancel the factors if they are not zero

Answer 17

okay thanks

Answer 18

okay thanks

Answer 19

Hey can u help me with this one Find the indicated limit
limx->infinity (e^2x - 1)/(x)

Answer 20

are u there?

Answer 21

are u there?