If lim_{x→a} f(x) = L and lim_{x→a} g(x) = M (with M ≠ 0), then lim_{x…

Question

If lim_{x→a} f(x) = L and lim_{x→a} g(x) = M (with M ≠ 0), then lim_{x→a} f(x)/g(x) equals:

Accepted Answer

C. $L/M$ (quotient rule for limits)

Quotient of limits: lim (f/g) = (lim f)/(lim g) = L/M, provided M ≠ 0. If M = 0 but L ≠ 0, limit may be ±∞. If both 0, indeterminate.

Answer

$L − M$ (subtraction)

Answer

$LM$ (product, used for f×g)

Answer

$L + M$ (sum, used for f + g)