MATHEMATICS DIFFERENTIATION

(I) Lim x→0 sin 3x/x

Lim x→0 sin 3x÷x × 3÷3

3sin3x/3x

= 3• Limx→0 Sin3x÷3x

3×1 = 3

(2) Lim x→0 tanx/x

Lim x→0 [tanx÷x × 1÷cosx]

Lim x→0 tanx/x • Lim x→0 1/cosx

Lim x→0 tan0/0 • Lim x→0 1/cos0

1•1 = 1

(

MATHEMATICS DIFFERENTIATION

(I) Lim x→0 sin 3x/x

Lim x→0 sin 3x÷x × 3÷3

3sin3x/3x

= 3• Limx→0 Sin3x÷3x

3×1 = 3

(2) Lim x→0 tanx/x

Lim x→0 [tanx÷x × 1÷cosx]

Lim x→0 tanx/x • Lim x→0 1/cosx

Lim x→0 tan0/0 • Lim x→0 1/cos0

1•1 = 1

(