`underset(thetararr0)("lim") (sqrt(1-cos theta))/(theta)` किसके बराबर है ?

Explanation

दिया है,
`underset(thetararr0)("lim")'(sqrt(1-costheta))/(theta)`
`= underset(theta rarr0)("lim")(sqrt(1-(1-2sin^(2)'(theta)/(2))))/(theta)`
`= underset(theta rarr0)("lim") (sqrt(2sin^(2)'(theta)/(2)))/(theta)`
`underset(theta rarr 0)("lim")(sqrt(2) sin'(theta)/(2))/((theta)/(2)xx 2) = 1/(sqrt(2))`