Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.
<h3>How do we verify if a sequence converges of diverges?</h3>
Suppose an infinity sequence defined by:

Then we have to calculate the following limit:

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.
In this problem, the function that defines the sequence is:

Hence the limit is:

Hence, the infinite sequence converges, as the limit does not go to infinity.
More can be learned about convergent sequences at brainly.com/question/6635869
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Answer:
x = 16.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 71 = x /5.7
5.7 tan 71 = x
x=16.55400
Rounding to the nearest tenth
x = 16.6
Let y= years ago when dad's age was 4 times son's age
60-y=4(30-y)
60-y=120-4y
-y+4y=120-60
3y=60
y=60/3
y= 20 years ago
Then 30-20= 10 yrs. old, the boys age when his dad was 40 years old.