Answer to Question #114457 in Calculus for Clifford Nyarko

Question

Find the following limits, if they exist.
lim┬(x→1)⁡〖(x^4-1)/(x-1)〗
lim┬(x→0)⁡〖(2-cos⁡3x-cos⁡4x)/x〗
lim┬(x→8)⁡〖(x-8)/(∛x-2)〗
lim┬(r→0)⁡〖r^2/(1-cos^2⁡r )〗
lim┬(x→1)⁡〖(x|x-1|)/(x-1)〗
lim┬(x→0)⁡〖(1-cos⁡4θ)/(1-cos⁡6θ )〗
lim┬(t→0)⁡〖(√(2+t)-√2)/t〗
lim┬(x→0)⁡〖sin⁡〖(sin⁡x)〗/x〗
lim┬(x→1.5)⁡〖(〖2x〗^2-3x)/|2x-3| 〗
lim┬(θ→0)⁡〖sin⁡θ/(θ-tan⁡θ )〗
lim┬(x→2)⁡〖(x-2)/(x^2-8)〗
lim┬(x→1)⁡cos⁡〖((x^2-1)/(x-1))〗

Answer 1

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