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Mathematics

2 answers:

miss Akunina [59]3 years ago

4 0

<span>The relationship between these terms may be sums ordifference. Here are some polynomials: You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. ... For example a polynomial with five terms is called a five-term polynomial.

</span>by combining like terms the difference of the polynomials will be C.) m^2n^2-mn-11

Mashcka [7]3 years ago

3 0

Simplify the equation first,

m²n² - 7 - mn - 4

Combine the like terms.

m²n² - mn - 11

Your answer is C. m²n² - mn - 11.

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Read 2 more answers

Determine if the following infinite series converges or diverges

Mandarinka [93]

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:

$\sum_{k = 0}^{\infty} f(k)$

Then we have to calculate the following limit:

$\lim_{k \rightarrow \infty} f(k)$

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

$f(k) = \frac{k^3}{k^4 + 10}$

Hence the limit is:

$\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0$