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

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[ x][o ] (sin ax)/(sin bx)

plz give me the procedure..!!





    
vivsarda (151)

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divide both the numerator n denominator by x so u get it as a identity
the ans is a/b
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joyfrancis (1504)

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arrey easy yaar...
it is 0/0 form , so by lh rule the limit would be
lt x-->0 acosax/bcosbx
put x=0
the answer is a/b
 
...simple...

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Greatdreams (3083)

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It has to be a/b

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nadeemoidu (1184)

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[ x][o ] (sin ax)/(sin bx)

=(a/b)
[ x][o ] (sin ax/ax) X (bx/sin bx)

=(a/b) (1X1)

=a/b

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kasirajan.1990 (1349)

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hi sinjan...
as u cld c its of 0/0 form...
if u apply the limit thn
limit X--->0 acosax/bcosbx
if u substitute x=0
the answer wld be a/b.

kasirajan



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rini (233)

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sinax/sinbx
 
= [(sinax)/(ax)] [(bx)/(sinbx)]  [ax/bx]
= 1.1.a/b as x=> 0
 
= a/b......ans..

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sinjan.j (574)

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i found 1 more way of doing it..!!

divide both numerator and denominator by abx.

you can then easily get a/b....

thanx guys.!!




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aditya_arora04 (1077)

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yes,
 
 
both the ways r correct !

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spideyunlimited (3083)

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ncert question hai
use the property : limit x-> 0 sinx/x = 1

=> (sin ax)/(sin bx)
= [ ax * (sin ax) / ax ] / [ bx * (sin bx) / bx ]
= a/b *1 * 1
= a/b


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