QUESTION 1 / 20 · LIMITSEasy
What is lim (x→2) of (x² − 4) ÷ (x − 2)?
SECANT TO TANGENT
Shrink h and watch the slope settle
The orange line joins two points on the curve, a gap h apart. As h shrinks, it swings onto the purple tangent, and its slope approaches the derivative.
3.20secant slope
2.00f′(a), the true slope
What this calculus test covers, in short
Twenty multiple-choice questions at upper-secondary to first-year university level, four on each of five topics: limits, derivatives, applications of derivatives, integrals, and series. Most can be done in your head or with a little scrap paper.
Logarithms are natural (ln) and angles are in radians. The test is our own and not normed.
By What's Your IQ · Reviewed 5 Oct 2026- Format
- 20 multiple-choice questions
- Level
- A-level / AP to first-year university
- Bonus
- Secant-to-tangent explorer, 3 functions
- Invented
- Newton and Leibniz, independently, 1660s–1680s