CALT EXAM 111 2026 SAMPLE ANALYSIS DRILL PACK ANSWER SHEET

CALT EXAM 111 2026 SAMPLE ANALYSIS DRILL
PACK ANSWER SHEET

◉ tangent line.
Answer: y - y(1) = m(x - x(1))


◉ sum and difference rule.
Answer: lim (f(x) + g(x)) = L + M
x -> c


considering that lim f(x) = L and lim g(x) = M
x -> c x -> c


◉ constant multiple rule.
Answer: lim (K f(x)) = KL
x -> c


considering that lim f(x) = L and lim g(x) = M
x -> c x -> c


◉ product rule.

, Answer: lim (f(x) g(x)) = LM
x -> c


considering that lim f(x) = L and lim g(x) = M
x -> c x -> c


◉ quotient rule.
Answer: lim (f(x) / (g(x) = L/M as long as M = 0
x -> c


considering that lim f(x) = L and lim g(x) = M
x -> c x -> c


◉ power rule.
Answer: lim (f(x))^n = L^n
x -> c


considering that lim f(x) = L and lim g(x) = M
x -> c x -> c
and n is a positive integer


◉ root rule.