Question

The graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist. I will post graph

Answer 1

a. lim x-->(1+) f(x)
b. f(1)

Answer 2

@satellite73

Answer 3

Where do you think the limit exists at?

Answer 4

From there, we can understand exactly what you need assistance in.

Answer 5

I am not sure how to approach this problem..

A. a. lim x-->(1+) f(x) = 1
b. f(1) = 0

B. a. lim x-->(1+) f(x) does not exist
b. f(1) = 2

C. a. lim x-->(1+) f(x) = 2
b. f(1) = 2

D. a. lim x-->(1+) f(x) = 2
b. f(1) = 1

Answer 6

\[\lim_{x\to 1^+}\] means you are headed to \(1\) on the \(x\) axis from the right, i.e. from numbers larger than 1

Answer 7

wait i think i got it! is it B??

Answer 8

imagine you are going along the graph travelling from right to left, headed to where \(x=1\)
what \(y\) value are you approaching?

Answer 9

actually the right and limit DOES exist
the two sided limit \(\lim_{x\to 1}f(x)\) does not exist

Answer 10

sorry i meant C since the y value you are approaching is 2

Answer 11

yeah, C is always a safe bet
it is also correct in this case

Answer 12

ok thnxx

Answer 13

yw