Question

please help....... TRUE or False and state the reason
1) if lim x-->0 f(X)=infinity and lim x-->0 g(X)=infinity, then lim x-->0 [f(X)-g(x)]=0

2)if f(1)>0 and f(#)<0,then there exists a number c between a and 3 such that f(c)=0

3) if f(x)>1 for all x and lim x-->0 f(x) exists, the lim x-->0 f(x)>1

Answer 1

1) false. eg. f(x) = - g(x), the statement is wrong
2) please tell me the meaning of "#",
but if a<b and f(a)<0 f(b)>0, there is a number c between a and b that f(c) = 0
3) true. f(x) > 1 applies for all x, even lim x --> 0

Answer 2

opps sorry 2)if f(1)>0 and f(3)<0,then there exists a number c between a and 3 such that f(c)=0

Answer 3

thanks a lot

Answer 4

plz give me a medal thx :)

Answer 5

yeah..