Limits and Derivatives

Evaluate the following limits in Exercises 1 to 22.

$\lim_{x \to 3} x + 3$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to \pi} \left( x - \frac{22}{7} \right)$

Evaluate the following limits in Exercises 1 to 22. $\lim_{r \to 1} \pi r^2$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 4} \frac{4x + 3}{x - 2}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to -1} \frac{x^{10} + x^5 + 1}{x - 1}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} \frac{(x + 1)^5 - 1}{x}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 2} \frac{3x^2 - x - 10}{x^2 - 4}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 3} \frac{x^4 - 81}{2x^2 - 5x - 3}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} \frac{ax + b}{cx + 1}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{z \to 1} \frac{z^{\frac{1}{3}} - 1}{z^{\frac{1}{6}} - 1}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 1} \frac{ax^2 + bx + c}{cx^2 + bx + a}, a + b + c \neq 0$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to -2} \frac{\frac{1}{x} + \frac{1}{2}}{x + 2}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to \pi} \frac{\sin(\pi - x)}{\pi(\pi - x)}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} \frac{\cos x}{\pi - x}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} \frac{\cos 2x - 1}{\cos x - 1}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} \frac{ax + x \cos x}{b \sin x}$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} x \sec x$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} \frac{\sin ax + bx}{ax + \sin bx} a, b, a + b \neq 0$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to 0} (\cosec x - \cot x)$

Evaluate the following limits in Exercises 1 to 22. $\lim_{x \to \frac{\pi}{2}} \frac{\tan 2x}{x - \frac{\pi}{2}}$