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

(

CalculusMathematicsmathematics MTHProduct rule and sum rule
# find the limit of x approaches infinity when sinx/x

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

(

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