What is the limit of (e ^ x-e ^ - X-2) / 1-cosx,

What is the limit of (e ^ x-e ^ - X-2) / 1-cosx,

lim(x→0) (e^-x+e^x -2)/(1-cosx)(x→0) e^-x+e^x-2 →0 1-cosx →0lim(x→0)(e^-x+e^x-2)/(1-cosx)=lim(x→0) (e^x-e^-x)/sinxx→0 e^x-e^-x →0 sinx→0lim(x→0)(e^x-e^-x)/sinx=lim(x→0) (e^x+e^-x)/cosx=2lim...

The limit X of √ (1-x) - 3 / (3 √ x + 2) tends to - 8

The limit of Lim1 / XLN (1 + X + x ^ 2 + x ^ 3). X approaches 0

When x approaches 2, find the limit of (x ^ 2-3) / (X-2)

The molecular limit is 1 and the denominator limit is 0, so the limit is ∞
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Find the limit tanx-x / (x ^ 2 * TaNx) when x approaches 0

=lim((1/cos^2x)-1)/(2xtanx+(x^2/cos^2x))
=lim(1-cos^2x)/(2xsinxcosx+x^2)
=lim(2sinxcosx)/(2sinxcosx+2x(cos^2x-sin^2x)+2x)
=limsin2x/(sin2x+2xcos2x+2x)
=lim2cos2x/(2cos2x+2cos2x-4xsin2x+2)
=2/6
=1/3

Find the limit of [b (1 + TaNx) + A + 2] / X when x approaches 0 (detailed solution) thank you!

【b(1+tanx)+a+2】/x=b*tanx/x+（b+a+2）/xlim x→0 （b*tanx/x+（b+a+2）/x）=lim x→0 （b*tanx/sinx+（b+a+2）/x）=lim x→0 （b*1/cosx+（b+a+2）/x）=lim x→0 （b*1/cosx）+lim x→0 （b+a+2）/x）=b+∞=∞...

When x → K π + π / 2, the limit of X / TaNx is 0
When x → K π + π / 2, the limit of X / TaNx is 0
When x → K π + π / 2, isn't TaNx → infinity? Why is the limit of X divided by an infinite trigonometric function 0?

When the denominator is infinite, the whole fraction is infinitely close to 0. When the molecule only belongs to one millionth or even one billionth of the denominator, the fraction is infinitely close to 0. So its limit is 0

On the limit tendency of function | 1-x / 1 + X |
|1-x / 1 + X | when x tends to - 1, function value tends to 0 or positive infinity
From 0 to - 1

Lim x tends to - 1 | (1-x) / (1 + x) | = 2 / + 0 = positive infinity

The function y = (X-2) (3-x) is formulated as vertex formula, and the vertex coordinates, symmetry axis equation and the maximum value are written out

Y = (X-2) (3-x) = - x2 + 5x-6 = - (x2-5x + 254) + 254-6 = - (X-52) 2 + 14, then the vertex of the parabola is (52,14), the axis of symmetry is x = 52, and its maximum value is 14

How to find the vertex of Nike function, such as the vertex of y = x + 1 / x? If you encounter y = x + 1 / x + 2, is it necessary to add 3 to 2?
And why is y = x + 1 / X (x
Wrong number. Should it be the minimum value of 2 plus 2

Because the fundamental inequality must be a positive number within the radical