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4 years ago

8

Central therom in statistics

1 answer:

aev [14]4 years ago

4 0

Answer:

whats the question

Step-by-step explanation:

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G prove that limx→∞(x 2 + 1)/x2 = 1 using the definition of limit at ∞.

Maslowich

$\displaystyle\lim_{x\to\infty}\frac{x^2+1}{x^2}=1$

means to say there is some number $M$ for which any choice of $\varepsilon>0$ such that

$x>M\implies\left|\dfrac{x^2+1}{x^2}-1\right|$

Working backwards, we have

$\left|\dfrac{x^2+1}{x^2}-1\right|=\left|1+\dfrac1{x^2}-1\right|=\dfrac1{x^2}$
$\implies\sqrt{\dfrac1{x^2}}$

So, whenever $x>M=\dfrac1{\sqrt\varepsilon}$ , we can always guarantee that $\left|\dfrac{x^2+1}{x^2}-1\right|$ .

7 0

3 years ago

Use the distributive property to simplify 4/5(1 -4m) completely

SOVA2 [1]

Answer:

4/5-20m

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Marie is riding her bike at 15 miles per hour. What is her rate of speed in feet per second?

Elina [12.6K]

Answer:

22

Step-by-step explanation:

We know that 1 miles = 5280 ft and 1 hour = 3600 seconds

15 miles 5280 ft 1 hour

--------------- * ------------- * -------------- =

1 hour 1 mile 3600 second

The units cancel leaving us ft/s

22 ft/s

4 0

4 years ago

<img src="https://tex.z-dn.net/?f=9%5Ex%5E%2B%5E2%20%3D%2027%5Ex" id="TexFormula1" title="9^x^+^2 = 27^x" alt="9^x^+^2 = 27^x" a

DedPeter [7]

Answer:

Is there even a question bec i can't see nothing

Step-by-step explanation:

5 0

3 years ago

Find the least length of a rope which can be cut into whole number of pieces of lengths 45cm, 75cm and 81 cm

choli [55]

The least is 45 bc it is less than the other 2

5 0

3 years ago