Explain why f(x) =√2+x - √2/x, is not continuous at x = 0.
Picture provided below.
2 answers:
Answer:
Choice A is correct. function is not defined at x = 0.
Step-by-step explanation:
We have given function:
f(x) = (√2+x - √2)/x
We have to explain that f(x) is not continuous at x = 0.
The domain is the values of x for which the function is difined.
So, at x=0 function is not defined.
Because x is in the denominator of function so when we put x=0 the function has no value.
f(x) = (√2+x - √2)/x is not continuous at x = 0.
Choice A is correct.
Answer: A
Step-by-step explanation:
If you put 0 in for x, then you would be dividing by 0. Dividing by 0 is always undefined.
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