Day 164 — 365 Problems for 365 Days AP Calculus limit with tangent and Taylor series: lim x->0 (tan x - x)/x^3 This is a classic “designed cancellation” limit. Since tan(x) starts as x plus higher-order terms, subtracting x removes the linear part and forces you to notice the cubic term. This is exactly the kind of limit that shows up in AP Calculus BC, contest math, and Taylor series practice. Project Mentor helps high school students with AP self-study plans, competition prep, and research/int
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Day 164 — 365 Problems for 365 Days AP Calculus limit with tangent and Taylor series: lim x->0 (tan x - x)/x^3 This is a classic “designed cancellation” limit. Since tan(x) starts as x plus higher-order terms, subtracting x removes the linear part and forces you to notice the cubic term. This is exactly the kind of limit that shows up in AP Calculus BC, contest math, and Taylor series practice. Project Mentor helps high school students with AP self-study plans, competition prep, and research/int
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