Answer:
d. does not exist
Step-by-step explanation:
The given limits are;
,
and 
We want to find

By the properties of limits, we have;

This gives us;

Division by zero is not possible. Therefore the limit does not exist.
I would say y = ln x + 4
you can use a graphing calculator
Answer:
No
Step-by-step explanation:
Rational numbers are those that can be represented in a fraction form.
2.12359.... cannot be represented in a fraction form.
So, it is NOT a rational number
Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;

so you can simply say that;

and by multiplying (x+6)*(x-6)

and as you know also that;

is same as

so you can simply state it as;

And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!
0.584 is greater than 0.58 !