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,

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