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Mathematics 16 Online
OpenStudy (dls):

Limits..

hartnn (hartnn):

my favourite topic!

mathslover (mathslover):

My topic in which I am the "BEST" ... just kidding , lol

OpenStudy (dls):

\[\lim_{x \rightarrow infinity} \frac{(1+x)^10+(2+x)^10+(3+x)^10}{x^10+(x+4)^10}\]

OpenStudy (dls):

idk whyitscoming like that its power 10

mathslover (mathslover):

it's easy

OpenStudy (dls):

how?

mathslover (mathslover):

0*any thing = 0 lol answer = 0 ... @hartnn will tell the correct answer though.

OpenStudy (dls):

-.-

hartnn (hartnn):

\(\huge \lim_{x \rightarrow \infty} \frac{(1+x)^{10}+(2+x)^{10}+(3+x)^{10}}{x^{10}+(x+4)^{10}}\)

OpenStudy (dls):

YES

OpenStudy (dls):

why didn'tmy equation comelike that!!

mathslover (mathslover):

@DLS always use : x^{10} for powers

OpenStudy (dls):

okay

mathslover (mathslover):

``` \[\large{x^10}\] will not work. \[\large{x^{10}}\] will work.

hartnn (hartnn):

divide x^10 in numerator and denominator

OpenStudy (dls):

okay

OpenStudy (dls):

i know wehave to divide by x^10 both places but "Why" and how:|

hartnn (hartnn):

just to confirm, answer = 3/2 ??

OpenStudy (dls):

YES O.O

hartnn (hartnn):

x-> infinity, so 1/x ->0 so we need 1/x terms how do we get it?

OpenStudy (dls):

okay..but im not so good at dividingso big numbers :/

hartnn (hartnn):

ok, divide by x in (1+x)

OpenStudy (dls):

frac{1}{x}+1

OpenStudy (dls):

:| nvm

hartnn (hartnn):

yup, now divide x^2 in (1+x^2)

OpenStudy (dls):

1/x^2+1

hartnn (hartnn):

yup, now divide x^10 in (1+x^10)

OpenStudy (dls):

1/x^10+1

hartnn (hartnn):

oh, wait, dividing x^2 in (1+x)^2 gives (1+1/x)^2 got this?

OpenStudy (dls):

i guess yeah okay

hartnn (hartnn):

so dividing x^10 in (1+x)^10 will give (1+1/x)^10 ok?

hartnn (hartnn):

now can u divide each term by x^10 ??

OpenStudy (dls):

wait !

hartnn (hartnn):

waiting ....

OpenStudy (dls):

dam where's the pen

hartnn (hartnn):

i have, u want ? :P

OpenStudy (dls):

YES

OpenStudy (dls):

oh wait i got it let me write

OpenStudy (dls):

dam it doesn't work lol

hartnn (hartnn):

lol

OpenStudy (dls):

indian pens suck

OpenStudy (dls):

|dw:1348838253374:dw|

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