JEE Main 20199 Jan, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002limy→01+1+y4−2y4\mathop {\lim }\limits_{y \to 0} {{\sqrt {1 + \sqrt {1 + {y^4}} } - \sqrt 2 } \over {{y^4}}}y→0limy41+1+y4−2AOption A. exists and equals 122{1 \over {2\sqrt 2 }}221BOption B. exists and equals 142{1 \over {4\sqrt 2 }}421COption C. exists and equals 122(1+2){1 \over {2\sqrt 2 (1 + \sqrt {2)} }}22(1+2)1DOption D. does not existsCheckSkip · show solution
