Answer:
<u>First question answer:</u> The limit is 69
<u>Second question answer:</u> The limit is 5
Step-by-step explanation:
For the first limit, plug in 
in the expression 
, that's the answer for linear equations and limits.
So we have:
The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value 
into the simplified expression to get the correct answer. Shown below:
<em>Now putting 1 in 
gives us the limit:</em>
So the answer is 5
Answer:
your answer would be OA
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars 
(not all zero) such that
which leads to the system of linear equations,
From the third equation, we have 
, and substituting this into the second equation gives
and in turn, 
. Substituting these into the first equation gives
which tells us that any value of 
will work. If 
, then 
and 
. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
looks like the question is not finished. x
