Question

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

Answer 1

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

Answer 2

tried taling log on both sides?

Answer 3

taking

Answer 4

No..i'll try just a sec

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

answer is e^(2/pi)?

Answer 9

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

Answer 10

yes its e^(2/pi)

Answer 11

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

Answer 12

yup, with that i m also getting same answer

Answer 13

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

Answer 14

you are right

Answer 15

gud question bdw :)

Answer 16

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

Answer 17

welcome ^_^

Answer 18

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