when we put the x in the denominator inside the root

we get absolute value so wee need to split into cases

let us deal with only one case

so i have a member in side the root which is 0/0

can i solve this thing without lhopital?

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- Sep 17th 2011, 10:29 PMtransgalacticsquare root limit

when we put the x in the denominator inside the root

we get absolute value so wee need to split into cases

let us deal with only one case

so i have a member in side the root which is 0/0

can i solve this thing without lhopital? - Sep 17th 2011, 11:04 PMCaptainBlackRe: square root limit
- Sep 17th 2011, 11:11 PMtransgalacticRe: square root limit
- Sep 17th 2011, 11:17 PMCaptainBlackRe: square root limit
- Sep 17th 2011, 11:29 PMtransgalacticRe: square root limit
its like sinx/x

its a definition

? - Sep 18th 2011, 03:24 AMCaptainBlackRe: square root limit
- Sep 18th 2011, 04:05 AMtransgalacticRe: square root limit
so i cant use it if its not a definition

and i cant use your explanation because its based on approximation.

and i cant do lopital only on one fracture

so how to solve it

? - Sep 18th 2011, 05:11 AMHallsofIvyRe: square root limit
Why can't you use it if it is not a definition? tan(x)= sin(x)/cos(x) so tan(x)/x= (sin(x)/x) cos(x). Now, both of those limits, as x goes to 0, should be easy.

- Sep 18th 2011, 05:39 AMtransgalacticRe: square root limit
but its arctanx not tan

?