Module calculus problem

Question

Evaluate 

Options:

1. 0
2. 7
3. -∞
4. ∞

Answer 1

Is this what you meant?

y = 7 / (x - 3/x² )

Simplify by multiplying top and bottom by x² :

7x² / (x³ - 3)

For x = 0, this is 0 / -3 = 0

Or, did you mean this?

y = (7/(x-3) ) / x²

y = 7 / (x³ - 3x²)

This becomes undefined at x = 0. If x = +1/2, we have 7/(1/8 - 3/4), which is negative. Therefore, as x--->0 from the right, the limit is -∞

CHECK by graphing