Question

limits

Answer 1

\[\lim_{x \rightarrow -3} f(x) = \] 1 ?

Answer 2

@hartnn can you just check my work, i attempted all of the problems

Answer 3

\[f(-3)\]

Answer 4

f(-1)=1

Answer 5

\[\lim_{x \rightarrow -1} f(x) =2\]

Answer 6

first limit is incorrect

Answer 7

lim x-> -1 f(x) = f(-1) = 1
hmmm, why @completeidiot ?

Answer 8

lim x->-3 for f(x) is not 1

Answer 9

if you take the limit from the right, you get 1
if you take the limit from the left, you get 2

1 is not equal to 2 thus no limit
correct me if i am wrong

Answer 10

so limit wouldn't exist ?

Answer 11

isn't that filled circle mean its already defined and given to be '1'

Answer 12

f(-3)=? --incomplete
f(-1)=1 -- correct
lim x->-1 f(x) = 2 -- correct

Answer 13

f(-3) would be equal to 1
but
lim x->-3 f(x) is not the same as f(-3)

Answer 14

f(-3)=1

Answer 15

oh so that would be undefined ?

Answer 16

its convient to just plug in numbers, but you need to remember that limits means, "approaches" not is equal to

yes it would be undefined

Answer 17

5. f(1)= 1

Answer 18

im going to assume so, cause there's a giant hazy blob around (1,1)

Answer 19

6. \[\lim_{x \rightarrow 1} f(x) = \]

Answer 20

1

Answer 21

cant say for sure, i would assume so

Answer 22

7. \[\lim_{x \rightarrow 1^{-}} f(x)=1\]

Answer 23

lim_{x rightarrow 1^{+}} f(x)=1

Answer 24

\[\lim_{x \rightarrow 1^{+}} f(x)=1 \]

Answer 25

im not sure about the last two :S

Answer 26

from the left is definitely 1, but from the right, i cant tell cause it just looks like a giant blob

Answer 27

there's a full dot on the blob too

Answer 28

i would say there's no limit from the right because its oscillating infinitely fast

Answer 29

or undefined for lim x→1^+ f(x)

that being said, then
lim x->1 f(x) would also be undefined

sorry cant help you there, use your best judgement

Answer 30

hmm okay, thank you anyways :D