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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: limits question 2
Forum Index -> Differential Calculus like the article? email it to a friend.  
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sinjan.j (574)

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[ x][0 ] (1- cos x)/ x

solve it plz..!!




    
aditya_arora04 (1077)

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Is the answer 0 ??

My birthday is no ordinary day.

Its the day when i declared in my own voice,

I WILL NOT GO QUIETLY INTO THE NIGHT,
I WILL NOT VANISH WITHOUT A FIGHT,
I AM GOING TO LIVE ON,
I AM GOING TO SURVIVE,
I AM GOING TO GET WHATEVER I WANT.

I CELEBRATE MY BIRTHDAY, AS MY INDEPENDENCE DAY !!!!!!!!!
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rini (228)

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0/0 form.. apply l'hospital's rule..

so limit= sinx = 0... for x=>0

Keep working....................Iam comming..

your's only,
Success!!
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Greatdreams (3083)

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differentiate numerator and deno,
it cums to be sin x and value of sin 0 shld be 0

__________________________________________________________________________________________________________
From J.R.R. Tolkien's 'The Lord of the Rings':

All that is gold does not glitter
Not all who wander are lost
The old that is strong does not wither,
Deep roots are not reached by frost.
From ashes a fire shall be woken
From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.
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rhd92781 (686)

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its lim(x->0) 2sin^2x/x
= lim(x->0) 2 (sinx/x)^2 * x
=lim(x->0) 2x =0

<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>


<DIV ALIGN="right">Animated Letters</DIV></TD></TR></TABLE>

I am only one,
But still I am one.
I cannot do everything,
But still I can do something;
And because I cannot do everything
I will not refuse to do the something that I can do.
- Edward Everett Hale
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Anupamagrawal13a (245)

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it can be done easily without any use of L-Hopital rule ie
lim x->0((sinx/2)2x/2)/(x/2)2
                                                    =0(Ans)
Anupam
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