What is the value of $$\displaystyle\lim_{x \to \infty} \frac{5x^2 - x^3}{2x^3 + 4x^2}$$?

All of the following statements regarding the limit $$\lim_{x\to3} \frac{x^2-9}{x-3}$$ are true EXCEPT:

$$\lim_{x\to\infty}\frac{5x^3+2}{\sqrt{9x^6+4x^2}}$$ is

Solve the equation: $$\lim_{t\to5}\frac{t^2-t-20}{t-5}$$.

$$\displaystyle\lim_{x \to 0} \dfrac{e^x - 1}{x}$$ is

Evaluate $$\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^{x}$$.

Evaluate $$\displaystyle\lim\limits_{x \to 6} \frac{|x^2 - 36|}{|x - 6|}$$. Which of the following best describes the limit?

Evaluate the limit $$\lim_{x\to 5} (2*x+3)$$.

A particle moves along the x-axis according to the equation x(t) = 3t² - 2t where x is in meters and t is in seconds. At t = 2 s, which of the following is a scalar quantity?

A student stands on a moving walkway that travels at 1.5 m/s east. The student walks at 0.8 m/s west relative to the walkway. A ball is thrown horizontally at 10 m/s east relative to the ground. If the ball experiences a constant acceleration of 9.8 m/s² downward, what is the ball's acceleration as observed by the student?

A 4.0 kg projectile moving at 10 m/s explodes at the highest point of its trajectory into two fragments of equal mass. If one fragment's velocity immediately after explosion is 8.0 m/s at 30° above the horizontal, what is the velocity of the second fragment?

A horizontal disk with moment of inertia 0.25 kg·m² is suspended by a wire with torsion constant 0.40 N·m/rad. The disk is rotated 0.15 radians from equilibrium and released. What is the maximum angular acceleration of the disk during its oscillation?