Question

( lim _{x rightarrow 0} frac{x cos x-log (1+x)}{x^{2}} )
( =lim _{x rightarrow 0}left[frac{cos x+-x sin x-frac{1}{1+x}}{2 x}right] )
O form - again applying L thopital's of rule ( lim _{x rightarrow 0}left[-sin x-sin x-x cos x+frac{1}{(1+x)^{2}}right] )
( 0+frac{1}{(1+0)^{2}} )
a coption ( frac{1}{2} )

# X cos x – log(1+x). The value of lim X +0 (a) 1/2 (b) 0 (c)1 (d) None of these

Solution