Question

Please give a short explanation too.

Answer 1

a.
because if we put x= -6 the function approaches infinity

Answer 2

divide x in numerator and denominator.
then because x->infinity, 12/x->0
so u are left with 3/2 only

Answer 3

So in short we have to the function undefined?

Answer 4

ya right
i guess m wrong :p

Answer 5

Sorry, don't get you.. @hartnn

Answer 6

dividing x in numerator and denominator , we get (3+12/x)/(2-12/x)
agreed ?

Answer 7

Yes.

Answer 8

now when X gets infinitely larger 12/x and -12/x gets infinitely smaller.
agreed ?

Answer 9

I think, yes..

Answer 10

opposite

Answer 11

so to find what f(x) approaches, we put 12/x =0 and -12/x =0
then we get only 3/2.
ok ?

Answer 12

Nope. Don't get this step.

Answer 13

\[\lim_{x \rightarrow \infty}\frac{ 3+12/x }{ 2-12/x }=\frac{ 3+0 }{ 2-0 }=\frac{ 3 }{ 2 }\]
because X is very large 1/X is very small and can be taken as 0.

Answer 14

i see.. thanks.

Answer 15

welcome :)