Barnard’s Star is approximately 35,133 billion miles from Earth. What is 35,133 billion in scientific notation?
1 answer:
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A group of k elements can be chosen from a group of n elements in 
ways.
There are 20 different 3-member groups.
There are 20 different 3-member groups.
In general the binomial expansion is
So in our case, because we want ascending powers of x we'll write,
We need to calculate the binomial coefficients:
has two points of discontinuity at
, where
.
We have
so as long as , we can cancel
and be left with
. Then as
, we have
The limit exists, so the discontinuity at -1 is removable (so definitely not C or D).
Meanwhile,
does not exist, so the discontinuity at 1 is non-removable, making A the correct answer.