lim (1+3x)10/x
as x→0+
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}
cool
lim (1+nx)m/x
as x→ 0+
is equal to
e to the power m*n
ie,
em*n
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