Question

PLEASE can some one attempt this:
Given: as x goes to c for all functions[ f(x)=2; g(x)=0, h(x)=3] evaluate the limit as x goes to c for: h(x)/(x-c)

Answer 1

Hey Sat: I cannot figure out what c is:

Answer 2

I assume you have to use rules

Answer 3

well first of all we know that h(x) = 3 yes?

Answer 4

a) 3
b) - 2⁄3
c) 3⁄2
d) 0
e) does not exist

Answer 5

yes

Answer 6

3/(x-c)

Answer 7

i mean that is given

Answer 8

yes given

Answer 9

ok and we want the limit as x -> c yes?

Answer 10

yes

Answer 11

now the denominator obviously goes to 0

Answer 12

and we know for f(x) it is 2 and for g(x) it is 0

Answer 13

i don't care what c is, it doesn't matter. the limit as x -> c of x - c = 0 for sure

Answer 14

please explain why?

Answer 15

oh because as x goes to c, well... x goes to c. therefore x - c (the difference) goes to zero. it is just that

Answer 16

ok, got you!

Answer 17

lets imagine c was 5 and i asked you to compute the limit as x -> 5 of x - 5. you would say it is zero. at least i hope you would

Answer 18

that makes sense, intuitive actually

Answer 19

good

Answer 20

haha! I would!

Answer 21

therefore the limit does not exist as the denom is 0

Answer 22

so the limit is the denominator is 0 we have established that fact

Answer 23

in order for the limit of the whole fraction to exist, that means the limit in the numerator must also be zero. if it is not, there is no limit

Answer 24

i can go further if i substitute and get 0/0

Answer 25

maybe factor and cancel, or something more fancy

Answer 26

but if the limit in the numerator is a non - zero number, then i have no hope

Answer 27

i cannot go further if i see 2/0 for example. no limit

Answer 28

it was understanding that x goes to c, would also mean that x-c has to be zero - that is what stumped me

Answer 29

and since we know the numerator is identically 3, you are trying to compute the limit as x -> c of 3/(x-c) which does not exist

Answer 30

great explanation! should get bonus medal

Answer 31

well now you are not stumped i hope

Answer 32

def not, you are absolutely awesome!

Answer 33

i am stumped as to why this question included an f and a g. are there other parts maybe?

Answer 34

no other parts, think just to confuse

Answer 35

yeah i see that. ok good luck, think you are doing fine

Answer 36

thank you, been a long time since I did calc;