Mathematics
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OpenStudy (dls):
Limits..
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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
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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
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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
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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?
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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)
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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
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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
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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
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OpenStudy (dls):
indian pens suck
OpenStudy (dls):
|dw:1348838253374:dw|