Question

Find the below limit :- $\Large{\boxed{ \lim_{\triangle x \to 0} \frac{5 {(x + \triangle )}^{\frac{3}{2} } - 5x^{\frac{3}{2} } }{ \triangle x } } }$ ☺️Do give step-by-step explanation ☺️accurate answer ☺️chapter - Motion in a Straight Line ☺️class XI ___________ Thank You !

Answer 1

Explanation:

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Answer 2

Answer:

Here tan x/x and sinx/x approaches to 1 when x approaches to 0

approaching to 1 - approaching to 1 is approaching to 0

and 1/x^2 , that is 1/approaching to 0

Approaching to 0/approaching to 0

is indeterminant form