→ micool:推一個! 推140.112.240.183 10/09
※ 編輯: yaochia 來自: 61.217.211.210 (10/09 00:25)
→ UZix:我爆一題極限 推140.112.240.215 10/09
A.Determine whether the following limits exist. If yes, find its limit value.
2
(a) lim x - 1
x->1 -------
|x - 1|
--2------
(b) lim (/ x +3x +1 +x)
x->-∞
Ans. (a) limit doesn't exist
(b) -1.5
B. Is there a real number c such that the function f defined by
2
cx + 10c if x <= 3
f(x) = 2
cx - 1 if x > 3
is continuous on (-∞,∞)?
Ans. c doesn't exist.
C. Show that the sum of the x- and y- intercepts of any tangent line to the
_ _ _
curve /x + /y = /c is equal to c.
D. A plane flying with a constant speed of 400 km/h passes over a ground
radar station at an altitude of 1.5 km and climbs at an angle of 30 degree.
At what rate is the distance from the plane to the radar station increasing
a minute later ?
890
Ans. ----------- km/min
______
3 / 2041
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