Ten no-calculator questions from the first two units: indeterminate forms, limits at infinity, a one-sided limit of a piecewise function, which condition…
10 questions • Zestly
• Evaluate the limit $\lim_{x \to 3} \frac{x^2 - 9}{x - 3}$.
• Determine the value of $\lim_{x \to \infty} \frac{5x^2 - 4x + 1}{2x^2 + 7}$.
• Let $g(x) = x^2$ for $x \neq 2$ and $g(x) = 0$ for $x = 2$. Which condition of continuity fails at $x=2$?
• Which expression represents $f'(2)$ for $f(x) = x^3$?
• Find the derivative of $f(x) = x^2 \sin(x)$.
• Find the derivative of $f(x) = (3x + 1)^4$.
• A particle's position is $s(t) = t^2$ metres at time $t$ seconds. What is the velocity at $t=3$?
• Let $f(x) = |x|$. Which statement is true at $x=0$?
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