I) This is False, because as you approach -3 from the right, the denominator is positive making g(x) negative, thus the limit is negative infinity.

II) This is True, as x goes to infinity, cos(x) is bounded between -1 and 1 and can be treated as a constant. Therefore the limit is 1.

III) This is False, the intermediate value theorem only applies on intervals where function is continuous. g(x) is not defined at x=-3, which is in the given interval [-4,0]. Therefore g(x) is not continuous and intermediate value theorem does not apply.
Final Answer:
D) only statement II is True
Answer:
= 18
Step-by-step explanation:
= 
Cross multiply
5 * c = 30 * 3
5c = 90
Divide both sides by 5
c = 90/5
c = 18
Answer:
The largest possible number of x intercept is 9 while the largest possible number of relative max/min is 8
Step-by-step explanation:
For any polynomial of degree n with distinct and real solutions, it can have at most n different x intercepts. This would imply it can have at most 9 distinct real solutions.
It can also have at most n-1 relative max/min in alternating order. This is best illustrated when such polynomial is sketched on a graph.
For example a quadratic expression is a polynomial of degree 2 and has at most 2 distinct solutions and 1 relative max/min.
In this question, for the polynomial, its degree (n) = 9
So it can have at most 9 x intercepts and at most 8 relative max/min.
Separate it into two different shapes