Question

limit X tends to zero 9 to the power x minus 5 to the power x divided by 4 to the power x - 1

Answer 1

lim 9^x-5^x
x-0 -----------
4^x-1
=lim. 9^x-1 -(5^x-1)
x-0 ------------------
4^x-4^1
=lim 9^x-1 -(5^x-1)
x-0------------------
4^x-1 -4+1
=lim 9^x-1 -(5^x-1)
x-0 ------ --------
x x
--------------------------
lim. 4^x-1 -3
x-0. ------ --
x. x
= log9 - log5
------------
log4