lim.....asinx-sin2x/tan^3xis finite,find the value of 'a' and find the limit.

x->0

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- Oct 4th 2008, 05:38 AMroshanheroLimits
lim.....

**asinx-sin2x/tan^3x**is finite,find the value of 'a' and find the limit.

x->0 - Oct 4th 2008, 07:39 AMgalactus
We can rewrite as:

Look at

What if a=2, what is the limit?. - Oct 4th 2008, 07:46 AMskeeter
I'm assuming that this is your limit expression ...

using L'Hopital ...

at this point, substituting 0 in the denominator yields 0 and substituting 0 in the numerator yields (a - 2). for the limit to exist, a must equal 2.

starting from scratch with a = 2 ...