Find Lim X - > ∞ (xtan2 / x + (1 / x ^ 2) * (SIN) x ^ 2) | Math enthusiast | Mathematical art

Find Lim X - > ∞ (xtan2 / x + (1 / x ^ 2) * (SIN) x ^ 2)

The above formula = Lim X - > 0 ((tan2x /) x) + Lim X - > ∞ ((SiNx ^ 2) / x ^ 2)
=Lim X - > 0 (sin2x / (x * cos2x)) + Lim T - > ∞ (Sint / T) (let t = x ^ 2)
=lim x->0(sin2x/x)+1
=2+1=3

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