Limits of Functions

Limits

• Find the limit of(rac{\sqrt{16x^6 - 16x^6} - x}{x^3 + 1}) as(x \to 8)
• Identify the form of the limit:
  • Simplify the expression to evaluate it.
  • Check if it leads to an indeterminate form (e.g.,(\frac{0}{0}))
• If indeterminate, apply algebraic techniques such as factoring or rationalization to resolve it.