Question

How to prove that a function is continuous?

Answer 1

depends largely on the function, and also on the point at which you assert that it is continuous

Answer 2

function is f (x) = 2x + 3, but don't know
how to demonstrate right through the definition

Answer 3

of course this is continous

Answer 4

continuous everywhere right? so what are you allowed to use?

Answer 5

the silly thing to write is
\[\lim_{x\to a}2x+3=2\lim_{x\to a}x+\lim_{x\to a}3=2a+3\]

Answer 6

sorry but i don't know english, and the translator has a few shortcomings

Answer 7

my question says, applying definition, show that the following function is continuous
f(x)=2x +3

Answer 8

what class is this for?

Answer 9

i know, that this function is continuos, but i don't know, how demostrate that this is continuous

Answer 10

give a > 0 there is a b > 0 s.t. |x-a|<b implies |f(x) - f(a)| < a

Answer 11

need to show this for all x

Answer 12

This is exactly what I am doing in class right now, but need another night or so to be good with it...