Question

Fa continuity ( quad f(0)=lim _{x rightarrow 0} f(x) )
Usmg
L Hopital's swle ( =frac{-2}{pi}left(frac{-1}{1+x}right) frac{1}{2 sqrt{x}} )
( frac{1}{2 sqrt{x}} )
( =frac{2}{pi} )

# ex?_? sin V1-x - In (1 + x) T 87. Let f(x) = , X €(0,1) k ,250 be continuous at x = 0, then the value of k, is (a) 1+2 (b) 1-2 (0)2 (a) ?

Solution