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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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Answer: Yes, they equal
Explanation: (4 + 6) x 3 = 30 ; 10 x 3 = 30, 30 = 30
<span>Exponent
is a number used to express shorter equation; it is a number that says how many
times you are going to multiply the base number.
</span><span>
Exponents have several laws, here are
some:
=> x^1 = x
=> x^0 = 1
=> x^-1 = 1/x
=> x^m x^n = X^m+n
=> x^m/x^n = x^m-n
And since we were asked to write an
expression with a negative exponent that has a value between 0 and ½
=> 2^ -2 = ½
</span>
