x-->0
2) lim [√2 cos(4x+ π/4)-1]/x
x-->0
3) lim x ln (x^2+3x+2)/(x^2+x)
x-->∞
4) lim [e^(x^2)-e^(x^3)] / (x^2)
x-->0
5) lim [(e^ax)-1] / [(e^bx)-1]
x-->0
更新1:
另加兩題 6) It is given that a function f(x) = x^2 -2 (where x < = 2) and -x +4 (where x > 2) a) Draw the graph of y = f(x) for 0< = x < = 3 b) Determine whether f(x) is continuous at x=2 c) Find lim x->2 f(x)
更新2:
7) It is given that a function g(x) = -2x+4(where x<1) and 3(where x=1) and x+1 (where x>1) a) Draw the graph of y = g(x) for 0 < = x < = 3 b) Determine whether g(x) is continuous at x=1 c) Find lim x -> 1 g(x) 最重要的是兩題的a,因為我不懂畫圖