lim as x goes to 1 (x^(2)-2x+4)=3

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- June 9th 2012, 04:57 PMsluggerbrothProve this limit
lim as x goes to 1 (x^(2)-2x+4)=3

- June 10th 2012, 12:56 PMemakarovRe: Prove this limit
If a function f is continuous at x0, then its limit as x -> x0 is f(x0).

- June 10th 2012, 04:23 PMHallsofIvyRe: Prove this limit
Using what "basis"? If you know about "continuous functions" and in particular that all polynomials are continous for all values of x then it is sufficient to say, as emakarov does, that the limit is .

If, on the other hand, you have only the**definition**of limit to work with, you need to look at , then what can you say if you choose so that becomes ? - June 14th 2012, 12:54 PMrichard1234Re: Prove this limit
The function is continuous everywhere.

Therefore