A limit question...I haven't got any idea until now..

Question

anonymous · Answer

$$\lim_{x \rightarrow a} (2 - x/a)^{\tan(\pi x /2a)}$$

hartnn · Answer

tried taling log on both sides?

hartnn · Answer

taking

anonymous · Answer

No..i'll try just a sec

hartnn · Answer

i guess , u'll need L'Hopitals then., are u allowed to use it ?

anonymous · Answer

Yes sure..I am doing 11th problems just revising...but forgot how to do it...

hartnn · Answer

then i think u'll get the answer....

anonymous · Answer

answer is e^(2/pi)?

anonymous · Answer

Yes i got it...its of form 1^infinity and there is a way to do such problems...Thanks:)

anonymous · Answer

yes its e^(2/pi)

hartnn · Answer

yeah, u write tan as 1/cot , isn't it ?

hartnn · Answer

yup, with that i m also getting same answer

anonymous · Answer

lim x->a f(x)^g(x) = exp lim x->a [f(x)-1]g(x)
This is if the limit is in the form 1^infinity

anonymous · Answer

you are right

hartnn · Answer

gud question bdw :)

anonymous · Answer

thanks:) In fact I've to say thanks because after you started helping I came to realize that..thanks

hartnn · Answer

welcome ^_^

anonymous · Answer

Not much of any answers taught or discussed but method is really good.....Yes good question:)