lLLL.. Limit

lim (1+3x)10/x

as x→0+

3 Answers

262
Aditya Bhutra ·

Let L = \lim_{x\rightarrow 0} (1+3x)^{10/x}

log( L) = \lim_{x\rightarrow 0} \frac{10*log(1+3x)}{x}

log( L) = 30 \lim_{x\rightarrow 0} \frac{log(1+3x)}{3x}

log( L) = 30

L = e^{30}

1
Ayush Shaw ·

cool

1
Ayush Shaw ·

lim (1+nx)m/x

as x→ 0+

is equal to

e to the power m*n

ie,

em*n

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