Question

limit X tends to zero a power x minus 1 by b power x - 1​

Answer 1

Step-by-step explanation:

$given \\ lim \: \: \frac{a {}^{x - 1} }{b {}^{x - 1} } \\ where \: x \: tends \: to \: 0 \\ now \\ = \frac{a {}^{0 - 1} }{b {}^{0 - 1} } \\ = \frac{b}{a} \: \: ans$

Answer 2

Answer:

log a to the base b

Step-by-step explanation:

lim a^x -1 ÷ b^x -1

derivating numerator and denominator

derivation of a^x = a^x.loga

derivation of b^x = b^x.logb

from that, we get answer as

log a to the base b