Question

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) ?

JEE/Engineering Exams

Maths

Solution

193

4.0 (1 ratings)

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} )