1.

\lim _ { x \rightarrow 3 } \frac { \sqrt [ 4 ] { x } - \sqrt [ 4 ] { 3 } } { \sqrt [ 3 ] { x } - \sqrt [ 3 ] { 3 } }

Answer»

putting x = 3we get 0/0 form,so differentiating we get,1×3 × x ^(2/3)---------------------- 4×x^(3/4)

3/4 × 3^(2/3-3/4)

3/4 × 3^{(8-9)/12}

3/4 × 3^{-1/12}



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