✏️ Practice Exercises

Real Analysis

3 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

Compute lim x→3 (x² − 9) / (x − 3)

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Factor numerator.

Your Working

02

medium

Is f(x) = |x| differentiable at x = 0?

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Check left and right derivatives.

Your Working

03

hard

Does the sequence aₙ = 1/n converge? If yes, to what?

💡 Show hint

As n → ∞, what does 1/n approach?

Your Working

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