Sketch the graph of f(x) = x2. Find its domain and range. Evaluate lim | Mathematics I 2081

Mathematics I208110 marksNumerical: graph domain range and limitRange and domain of functions and their Graphs

Sketch the graph of $f(x) = x^2$ . Find its domain and range.

Evaluate $\lim_{x \to 1^-} \sin^{-1} \left( \frac{1-\sqrt{x}}{1-x} \right)$ [5+5]

Sketch the graph of $f(x) = x^2$. Find its domain and range.

Evaluate $\lim_{x \to 1^-} \sin^{-1} \left( \frac{1-\sqrt{x}}{1-x} \right)$ [5+5]

Function: $f(x) = x^2$ - Limit to evaluate: $\displaystyle \lim{x \to 1^-} \sin^{-1}\left(\frac{1-\sqrt{x}}{1-x}\right)$ - Marks: [5 + 5] --- $x^2$ is defined for every real number (no division or even-root restrictions). $\text{Domain} = (-\infty, \infty) = \mathbb{R}$ Since $x^2 \geq 0$ for...

Function: $f(x) = x^2$ - Limit to evaluate: $\displaystyle \lim{x \to 1^-} \sin^{-1}\left(\frac{1-\sqrt{x}}{1-x}\right)$ - Marks: [5 + 5] --- $x^2$ is defined for every real number (no division or even-root restrictions). $$\text{Domain} = (-\infty, \infty) = \mathbb{R}$$ Since $x^2 \geq 0$ for...

Sketch the graph of f(x) = x2. Find its domain and range. Evaluate limx to 1- sin-1 left( frac1-sqrtx1-x right) [5+5]