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LIM (x is close to 0) (x * [1 / x]) =?
Yes, upstairs
Because [1 / x] > = 1 / X-1, multiply by X to get > = 1-x, X tends to 0, so the answer is 1
When x tends to zero, calculate LIM (1-x) ^ (1 / x)
=e^(-1)=1/e
Let f '(xzero) = - 2 △ X - > 0 LIM (f (xzero + 3 △ x) - f (xzero)) / △ X
lim (f(x0-3Δx)-f(x0))/Δx
=lim (f(x0-3Δx)-f(x0))/3Δx * 3
=3f'(x0)
=-6
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