Calculus Solutions
Step-by-step solutions with Learning Insights, Quick Tips, and Common Mistakes.
3. Find the value of the following limits if they exist. Graph with calculator to help with a - d. (These four are 4 pts each.) a) lim_{x->0^+} sqrt(x) = b) lim_{x->-4} sqrt(16 - x^2) = c) lim_{x->4^-} 1/(x - 4) = d) lim_{x->3^-} |x - 3|/(x - 3) = SHOW ALL WORK TO JUSTIFY your answers to e - g. (These three are 5 pts each) e) lim_{x->1} (x^2 - x)/(2x^2 + 5x - 7) (use factoring)
Answer: a) $\lim_{x \to 0^+} \sqrt{x} = 0$ | b) $\lim_{x \to -4} \sq
Sep 8, 2026
Find the derivative of f(x) = x³ - 4x² + 7
Answer: f'(x) = 3x² - 8x
Apr 12, 2026