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18 Mar 2023
Question 6. [20 marks] Consider the function f(x) =
. This function is continuous at x = -1, and f (-1) = 1. By definition, this means that for any
> 0 there exists
> 0 such that, for all x: |x + 1| <
,|f(x) - 1| <
. We choose
= 1. Which
can we take to satisfy the definition? Justify your answer.
(a)
= 0.28
(b)
= 1.96
(c)
=
(d)
= 1
Question 6. [20 marks] Consider the function f(x) =
. This function is continuous at x = -1, and f (-1) = 1. By definition, this means that for any
> 0 there exists
> 0 such that, for all x: |x + 1| <
,|f(x) - 1| <
. We choose
= 1. Which
can we take to satisfy the definition? Justify your answer.
(a)
= 0.28
(b)
= 1.96
(c)
=
(d)
= 1
rosi10agarwalLv10
19 Mar 2023
18 Mar 2023
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18 Mar 2023
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18 Mar 2023
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