Use the limit theorem and the properties of limits to find the limit.

The answer is √3/4 ⇒ answer (d)

Step-by-step explanation:

∵

* By using the limit theorem: divide up and down by x

∵ x = √x²

∴ =

  ⇒ numerator

∵ ⇒ denominator

∵ x →∞ ⇒ ∴ 2/x² = 2/∞ = 0 and 1/x = 1/∞ = 0

∴

∴ The answer is √3/4 ⇒ (d)

The answer is:

Since the degree of both numerator and denominator are the same, the result will be a number different of zero, so the first given option (a) it's incorrect.

We need to "break" the indeterminate form of the limit in order to find the correct answer.

To solve this limit, we must divide each term by the largest degree term, for this case is "x" since the numerator is inside of a square root.

So, doing it we can solve the limit:

Then, before evaluating the limit, we must remember that any number divided by infinity will give as result zero (0), so:

So, the correct option is:

Have a nice day!

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

mx+89b(-98)nb

step-by-step explanation: