# HW help 12th grade calc

**URL:** <https://forums.speedlife.net/t/hw-help-12th-grade-calc/36371>\
**Category:** NYSpeed Off Topic\
**Created:** [October 3, 2007, 7:11am UTC](https://forums.speedlife.net/t/hw-help-12th-grade-calc/36371 "2007-10-03T07:11:31Z")\
**Posts on this page:** 4\
**Page:** 1

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**Author:** ![xcell](https://avatars.discourse-cdn.com/v4/letter/x/439d5e/32.png) [@xcell](https://forums.speedlife.net/u/xcell)\
**Post date:** [October 3, 2007, 7:11am UTC](https://forums.speedlife.net/t/hw-help-12th-grade-calc/36371/1 "2007-10-03T07:11:31Z")

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i get the answer 0 ( not sure if it is right ) but how i get does not make sense to me.

lim SQRT of X / CSC X  
x approaches PI

in place of PI i use 180 ( this is where i think im wrong but 3.141… doest make sense to use either.)  
and csc = 1/sin x  
so…  
SQRT PI / 1/sin PI

from there

sqrt PI \* sinPI / 1

sin 180 = 0

sqrt PI \* 0 = 0

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**Author:** ![Toda\_Party](https://yyz2.discourse-cdn.com/flex034/user_avatar/forums.speedlife.net/toda_party/32/7354_2.png) [@Toda\_Party](https://forums.speedlife.net/u/Toda_Party)\
**Post date:** [October 3, 2007, 7:17am UTC](https://forums.speedlife.net/t/hw-help-12th-grade-calc/36371/2 "2007-10-03T07:17:37Z")

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use a graphing calculator

solved!

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**Author:** ![Fry](https://yyz2.discourse-cdn.com/flex034/user_avatar/forums.speedlife.net/fry/32/7284_2.png) [@Fry](https://forums.speedlife.net/u/Fry)\
**Post date:** [October 3, 2007, 7:24am UTC](https://forums.speedlife.net/t/hw-help-12th-grade-calc/36371/3 "2007-10-03T07:24:48Z")

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I think you’ve got the right answer.

Sin(X) approaches zero as X approaches Pi.

So CSC(X) approaches infiniti as X approaches Pi.

Anything divided by infiniti = 0.

so

Sqrt(anything divided by infiniti) = 0

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**Author:** ![FightinMike](https://avatars.discourse-cdn.com/v4/letter/f/7bcc69/32.png) [@FightinMike](https://forums.speedlife.net/u/FightinMike)\
**Post date:** [October 3, 2007, 5:16pm UTC](https://forums.speedlife.net/t/hw-help-12th-grade-calc/36371/4 "2007-10-03T17:16:57Z")

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Your algebra is correct, you could also arrive there by some analysis.

csc(x) as x -\> pi becomes infinitely large.

You cannot directly compute sqrt(x), as x -\> pi, since pi is irrational and has no square root.

BUT, since csc(x), x -\> pi, becomes huge the closer and closer you get to pi, and since sqrt(x), x-\>pi, is roughly constant. You have a denominator that is increasingly increasing, and a “constant” numerator. Thus it must tend to 0.

Hope that helps with the reasoning.