Question

Answer this.

Thanks

Answer 1

$\bold{Answer :}$

We can solve it using L' Hospital's rule.

Now,

Lt (Δx → 0) {sin(Δx/2)}/(Δx/2) [ 0/0 form ]

= Lt (Δx → 0) [1/2 {cos(Δx/2)}/(1/2)]

= Lt (Δx → 0) {cos(Δx/2)}

= cos0

= 1

Hence, proved.

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