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Consider the following graph of the func...

Consider the following graph of the function y=f(x). Which of the following is//are correct?

`(a) lim_(xto1) f(x)` does not exist.
`(b) lim_(xto2)f(x)` does not exist.
`(c) lim_(xto3) f(x)=3.`
`(d)lim_(xto1.99) f(x)`exists.

Text Solution

Verified by Experts

The correct Answer is:
(a), ( c ), (d)
`a. underset(xto1^(+))limf(x)=3" and "underset(xto1^(-))limf(x)=2." Thus,"underset(xto1)limf(x)` does not exist.
`b. underset(xto2^(+))limf(x)=underset(xto2^(-))limf(x)=3." Thus,"underset(xto2)limf(x)` exist.
`c. underset(xto3^(+))limf(x)=underset(xto3^(-))limf(x)=3." Thus,"underset(xto3)limf(x)` exist.
`d. underset(xto1.99^(+))limf(x)=underset(xto1.99^(-))limf(x)=3." Thus,"underset(xto1.99)limf(x)` exist.
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