Question

Find the indicated limit, if it exists.

Answer 1

here this question needs a little more work.
first you have to find lim x-->5+ f(x)
then you have to find lim x-->5- f(x)
then to find the limx-->5 f(x)
you have to compare lim x-->5+ f(x) and x-->5- f(x)
if they both are equal then the limit exists otherwise does not exist

Answer 2

:/ i dont know how to do those steps...

Answer 3

ok lets start

Answer 4

alright

Answer 5

to find x-->5- f(x)
substitute 5 in the above portion of the function only
what you will get ???

Answer 6

I dont know... substitute it where?

Answer 7

oh the above portion is 5 - x so 5 - 5 = 0

Answer 8

f(x) = 5-x , x<5
in this portion only substitute x=5

Answer 9

= 0

Answer 10

ok thats right

Answer 11

The last portion and the middle one are 8's and the top is 0. Is the final answer 8?

Answer 12

now to find lim x--->5+ f(x)
substitute 5 in the lowest portion of the f(x)

Answer 13

5 + 3 = 8

Answer 14

ok now as you see
lim x-->5+ f(x) and x-->5- f(x) are not equal
thus lim x--->5 f(x) doesnot sxists

Answer 15

ohhhh I seeeeee!!!

Answer 16

so if they were equal then what would the answer be?

Answer 17

then the number that you got on both the limits was your answer
like if
lim x-->5+ f(x) = x-->5- f(x) = 8
so
lim x--->5 f(x) =8 was your answer if this was the case

Answer 18

okay cool i see. Thanks man

Answer 19

of course i've got more though

Answer 20

new Q

Answer 21

welcome again