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8 multiple-choice questions and 5 flashcards on Limits and Introduction to Calculus, about 5% of the High School Pre-Calculus bank. Every one carries a written rationale.
Limits and Introduction to Calculus is one of 10 chapters in CoStudy's High School Pre-Calculus bank, and it holds 8 of the bank's 150 multiple-choice questions — roughly 5% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
1 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
Find the limit: lim (x→2) (x² - 4)/(x - 2).
Answer: A — 4 (factor: (x-2)(x+2)/(x-2) = x+2; limit at x=2 is 4)
Direct substitution gives 0/0 (indeterminate). Factor numerator: x² - 4 = (x-2)(x+2). Cancel (x-2). Limit becomes lim (x+2) = 2+2 = 4. Pre-Calc intro to limits, foundation of AP Calc.
3 cards from the 5 in this chapter.
What is the instantaneous rate of change?
The limit of average rates as the interval shrinks to zero — i.e., the derivative.
What is the Fibonacci sequence?
0, 1, 1, 2, 3, 5, 8, 13, 21, ... — each term is the sum of the previous two.
What is a recursive sequence?
A sequence where each term is defined in terms of previous terms (e.g., Fibonacci: aₙ = aₙ₋₁ + aₙ₋₂).
These are a sample. The full Limits and Introduction to Calculus chapter runs 13 items with per-chapter progress tracking, on the web and in the iOS app.
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