Recent content by exraven

sorry for the late reply, i was struggling to solve the problem. It seems that trigonometric identities won't work, the closest one is using the euler's formula, the result is 0. It fail to prove the problem though, maybe it is a false problem after all.

Homework Statement Prove: lim (n→0) {(sin n cos n) / (ⁿ√(1 - tan² 2n + tan⁴ 2n - tan⁶ 2n + ...))} = 1Homework Equations The Attempt at a Solution The denominator is an infinite geometric series, using the sum formula of an infinite geometric series, I simplify the limit: lim (n→0) {(sin n cos...