Limit help

[doggysnoop]

Which of the following statements about limits of functions is false:

• lim f(x) and f(a) are always equal

x→a

• Two of the other choices are correct
• It is possible for lim f(x) to equal +∞ when a is finite

x→a

• If lim f(x) exists for some a, then it exists for all a

x→a

• lim f(x) can exist even when a is not in the domain of f(x)

x→a

 

[Dr.Peterson]

Please tell us what you think about the problem:

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[skeeter]

which statements do you think are true or false, and why?

 

[HallsofIvy]

At least tell us what you know about limits! How is "\(\displaystyle \lim_{x\to a} f(x)\)" defined?

Can you answer this: if f(x)= 4 for all x except 0 and f(0)= 5, what is \(\displaystyle \lim_{x\to 0} f(x)\)?

 

[Steven G]

I can you by fingers for this one. 1, 2, 3, 4. The answer is 4