Answer:
y-intercept (0, -3) and x-intercept (3/2, 0)
Step-by-step explanation:
y + 5 =2(x + 1)
y + 5 =2x + 2
subtract 5 from both side
y =2x -3
-3 is the y-intercept because in y=mx+b, b is the y-intercept and it always starts at 0.
To find the x-intercept, we need to plug in 0 for y in y =2x -3
0=2x -3
add 3 to both sides
2x=3
divide both sides by 2
x=3/2 and so the x-intercept is 3/2 and it always starts at 0.
The series as represented in the task content is divergent and hence; diverges.
<h3>What convergence and divergence in series?</h3>
It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.
It is noteworthy to know that;
If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.
Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.
Read more on convergence and divergence of series;
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Turn the 3/8 itto a mixed number and dived it by 111
