lLLL.. Limit

lim (1+3x)10/x

as x→0+

3 Answers

262
Aditya Bhutra ·

LetL=limx0(1+3x)10/x

log(L)=limx0x10log(1+3x)

log(L)=30limx03xlog(1+3x)

log(L)=30

L=e30

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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