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tan x − x EXAMPLE 4Find lim .(See Exercise 2.2.50.) x3 x→0 sOLuTioN Noting that both tan x - x —→ 0 and x3 —→ 0 as x —→ 0, we use l'Hospital's Rule: Sorry, L'Höpital's rule isn't Since the lir Iospital's available right now Rule again: A law banning L'Hópital's rule has been enacted in the U.S. Unfortunately, that means you'll need Because lim to find another method. Calculus students are eagerly working to get L'Hópital's rule reinstated. We can e me or by Please stay tuned! writing tan metric limits. Putti Learn more Close @MathMatize tan x sec'x 1 lim lim 3 x→0 x 3 x→0$ 1 3

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