week-07.json
json Container
READ_ONLY_ACCESS[ { "id": "maths1-w07-000", "front": "Limit of sequence $\\lim_{n\\to\\infty} \\frac{1}{n}$", "back": "$0$" }, { "id": "maths1-w07-001", "front": "Limit at infinity of rational function where deg(numerator) < deg(denominator)", "back": "$0$" }, { "id": "maths1-w07-002", "front": "Limit at infinity of rational function where deg(numerator) = deg(denominator)", "back": "Ratio of leading coefficients $\\frac{a_n}{b_n}$" }, { "id": "maths1-w07-003", "front": "Three conditions for continuity of $f(x)$ at $x = c$", "back": "1. $f(c)$ is defined; 2. $\\lim_{x\\to c} f(x)$ exists; 3. $\\lim_{x\\to c} f(x) = f(c)$" }, { "id": "maths1-w07-004", "front": "Two-sided limit $\\lim_{x\\to c} f(x) = L$ exists iff", "back": "$\\lim_{x\\to c^-} f(x) = \\lim_{x\\to c^+} f(x) = L$" } ]