Practice Examination ยท Series C Calculus Foundations
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Self-Study Edition

Limits, Derivatives & Integrals โ€” from First Principles to Fluency

One hundred questions, ordered from the easiest recall to the hardest synthesis, so you can teach yourself the whole chapter in a single sitting. Every question comes with a hint and a short, checked explanation.

Part I ยท Q1โ€“34

Limits

The definition of a limit, direct substitution, factoring, one-sided limits, limits at infinity, and the squeeze theorem.

Part II ยท Q35โ€“70

Derivatives

The definition of the derivative, the power/product/quotient/chain rules, and derivatives of trig, exp, and log functions.

Part III ยท Q71โ€“100

Integrals

The antiderivative as the reverse of differentiation, definite integrals, the Fundamental Theorem of Calculus, and simple substitution.

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