show that limit h tends to 0 ah-1 / h = logea - Maths -

Question

show that
limit h tends to 0 ah-1 / h = logea

Varun.Rawat · Accepted Answer

limh→0ah - 1h=limh→01 + h log a + h22!log a2 + 
 - 1h=limh→0 h log a + h22!log a2 + 
h=limh→0hlog a + h2!log a2 + h23!log a3 + 
h=limh→0 log a + h2!log a2 + h23!log a3 + 
= log a

show thatlimit h tends to 0 ah-1 / h = logea

show that
limit h tends to 0 a^h-1 / h = log_ea