Question

$( - \infty,3 - \sqrt{3}) \cup (3 + \sqrt{3},\infty)$ as (x, y) → (1, 0) along the line y = x – 1 is given by

• A. 1
• B. ∞
• C. 0
• D. None of these

Answer 1

Answer: (C)

0

Answer 2

$\lim _ { \substack { x \rightarrow 1 \\ y \rightarrow 1 } } \frac { y ^ { 3 } } { x ^ { 3 } - y ^ { 2 } - 1 }$ , y = x – 1

$\lim _ { x \rightarrow 1 } \frac { ( x - 1 ) ^ { 3 } } { x ^ { 3 } - ( x - 1 ) ^ { 2 } - 1 }$, $\frac { 0 } { 0 }$

= 0