(i) Yes. Simplify
.

Now compute the limit by converting to polar coordinates.

This tells us

so we can define
to make the function continuous at the origin.
Alternatively, we have

and

Now,


so by the squeeze theorem,

and
approaches 1 as we approach the origin.
(ii) No. Expand the fraction.

and
are undefined, so there is no way to make
continuous at (0, 0).
(iii) No. Similarly,

is undefined when
.
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
The GCF is the first answer
Answer: D
Step-by-step explanation: If you turn all of them into decimals (with 2 decimal places) then you cacn order them from least to greatest. With negatives, it is the other way.
The answer is 25.
Explanation: absolute value is always the opposite of the number inside the bars unless if the number is already positive, absolute value is always positive.