Question

Illustration

Evaluate Lim x→0 tan^2x-x^2/x^2tan^2x

Solution

Lim x→0 tan^2x-x^2/x^2tan^2x

⇒Lim x→0 x^2(tan^2x/x^2)-1/x^2tan^2x

⇒Limx→0 tan^2x/x^2-1/tan^2 = tan^20'/0^2-1/tan^20

**⇒ 0/0-1/0 = -1/0 = ∞**

Illustration

Evaluate Lim x→0 tan^2x-x^2/x^2tan^2x

Solution

Lim x→0 tan^2x-x^2/x^2tan^2x

⇒Lim x→0 x^2(tan^2x/x^2)-1/x^2tan^2x

⇒Limx→0 tan^2x/x^2-1/tan^2 = tan^20'/0^2-1/tan^20

**⇒ 0/0-1/0 = -1/0 = ∞**