Question

If anyone can take time out of their day and help me with these, I’d REALLY appreciate it! You’d literally be saving a life.

Answer 1

Explanation:

1. The limit is when x approaches a particular value, what does the function approaches itself.

Since this function is a polynomial, therefore it is continuous everywhere, so we can use the direct subsitution, and just.simply plug in 0 for x.

So the limit(x approaches 0) of x^5+x^2+3x=0^5+0^2+3(0) is

0.

2. Here this is limit at infinity. Here it is important to know your basic polynomial functions

The numerator has a constant in it.

The denominator has a cubic function in it.

As x gets bigger, the denominator will become larger than the numerator., this the function itself will approach 0.

3. Use Chain Rule

Let u=5x-4

Using chain rule,

`(dy)/(du) * (du)/(dx) = \\ 15(5x - 4) {}^(2)`

4. I don't have the math notation rn accessible to explain the problem