Question

the limit of f(x) exists at x = a, which statement is true?

limx→a−f(x)=limx→a+f(x)=L

limx→af(x)=limx→a+f(x)=L

limx→a−f(x)=limx→af(x)=L

limx→a−f(x)=L

Answer 1

@Michele_Laino

Answer 2

@phi

Answer 3

@rational

Answer 4

@tkhunny

Answer 5

please can you rewrite your exercise, using the editor of formulas?

Answer 6

There is also a x with a arrow and a A^-

Answer 7

I will try my best to draw

Answer 8

I am having trouble reading that too .

Answer 9

I can say this:
if:
\[\mathop {\lim }\limits_{x \to a} f\left( x \right) = L\]
then:
we can show, that
\[\mathop {\lim }\limits_{x \to a} \left( { - f\left( x \right)} \right) = - L\]
that is a theorem of the theory

Answer 10

triedd my best

Answer 11

ok! I understand now

Answer 12

That was A

Answer 13

By definition of the limit of a function, if exist the subsequent limit:
\[\mathop {\lim }\limits_{x \to a} f\left( x \right) = L\]
then
also the right limit and the left limit exist
That is a theorem of the Mathematical Analysis

Answer 14

So, what is the right option?

Answer 15

hold up Im lagging

Answer 16

a) looks right, what about the other options

Answer 17

yea A

Answer 18

that's right!

Answer 19

thx yall

Answer 20

thank you! @DaWizjr @perl

Answer 21

all the choices look correct