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Day 171 — 365 Problems for 365 Days AP Calculus limit with exponential and trig: lim x->0 (e^x - 1) / sin(x) This is a classic 0/0 limit that’s perfect for L’Hôpital’s Rule and also connects to two key calculus facts: the derivative of e^x is e^x, and the derivative of sin x is cos x. It’s a great warm-up problem for limits, derivatives, and exam-style simplification. Project Mentor helps high school students with AP self-study plans, competition prep, and research/internship guidance — see my b
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