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Evaluate limx→0e14x−1−14xx2\displaystyle \lim_{x \to 0} \frac{e^{14x}- 1 - 14x}{x^2}x→0limx2e14x−1−14x.
Evaluate limx→0+(1+sin6x)cotx.\lim_{x \to 0^+} (1+\sin 6x)^{\cot x}.x→0+lim(1+sin6x)cotx.
Evaluate limx→0e2x−1−2xx2.\lim_{x \to 0} \frac{e^{2x}-1-2x}{x^2}.x→0limx2e2x−1−2x.
Evaluate limx→06tanx−6xx3.\lim_{x \to 0} \frac{6\tan x-6x}{x^3}.x→0limx36tanx−6x.
Evaluate limx→1x9−9x+8(x−1)2.\lim_{x \to 1} \frac{x^{9}-9x+8}{(x-1)^2}.x→1lim(x−1)2x9−9x+8.
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