heo83
Junior Member level 3
how to find limits of x to the power of sin x
I have this exercise:
1 - [cos(x)]^sin(x)
lim --------------------- = ?????
x->0 tan(x)^3
(explain to someone that would be confused by these formulas: cos(x) to the power of sin(x), tan(x) to the power of 3)
Does anyone have the solution, please post it. Thanks a lot.
Besides can you explain it in details ?
Something like
>limit((1-cos(x)^sin(x))/tan(x)^3, x = 0); is not welcome. (that means I can use Maple, or computer to solve this exercise, to have the numeric value but I want to understand why and how?)
To me:
I tried to use l'Hospital but diff(cos(x)^sin(x),x) would cause a lot things relate to log that could make this exercise more difficult. Halt!
I have this exercise:
1 - [cos(x)]^sin(x)
lim --------------------- = ?????
x->0 tan(x)^3
(explain to someone that would be confused by these formulas: cos(x) to the power of sin(x), tan(x) to the power of 3)
Does anyone have the solution, please post it. Thanks a lot.
Besides can you explain it in details ?
Something like
>limit((1-cos(x)^sin(x))/tan(x)^3, x = 0); is not welcome. (that means I can use Maple, or computer to solve this exercise, to have the numeric value but I want to understand why and how?)
To me:
I tried to use l'Hospital but diff(cos(x)^sin(x),x) would cause a lot things relate to log that could make this exercise more difficult. Halt!
