# Indeterminate forms

What is the right hand and left hand limit of (sinx)^tanx?
I know this is an indeterminate form 0^0 but what are the RHL and LHL because though I intuitively know that 0^0 is indeterminate, I don't understand what the right hand and left hand limits are?

As I implement!!

$$\lim_{x\rightarrow 0}sinx^{tanx}$$

look at the graph of the function

http://www.wolframalpha.com/input/?i=sin x^{tan x}

And this is intuitively reasonable,
Let us assume a very small value approaching to zero for theta [in radians] , say 0.00000001, then the value will be very close to 1
This is the limit from the right .
And the limit from the lift doesn't exist since you x^x is not always valid for negative numbers..,

Hope that is right and what you are looking for ,,
:)

Last edited:
HallsofIvy