So lim(8/9)^x = lim e^(x*ln(8/9))
ln(8/9) (or ln (8 ) -ln(9)) is smaller than 0, resulting in a negative value for x*(ln(8/9))
So the result would be something of this form:
lim e^(-x*...)
or
lim 1/e^(x*...)
going towards 0
Am I correct?
Now, the limit of (-9/8)^x can't be...
Hi,
I was doing some exercises on limits when I stumbled upon the following questions:
(limits are always x->infinity)
lim (2^x+1)/(3^x+1)
2nd one:
lim (-9/8)^x
The first one should be zero (3^x expands faster than 2^x), and the 2nd one doesn't seem to exist (according to maple and...