- #1

- 374

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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?

- Thread starter erisedk
- Start date

- #1

- 374

- 7

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?

- #2

- 105

- 3

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 ,,

:)

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

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:

- #3

HallsofIvy

Science Advisor

Homework Helper

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You should be able to see from your graph that if x is approaching 0 "from the right" or "from above", then f(x) goes to 1 while it

- #4

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Ok thanks :D

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