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melisa1 [442]
3 years ago
6

Needhdjdjdjdjdjdnhiskdjdjdjdjdjdjjshdjdjdjdjdjdjdjd​

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

9514 1404 393

Answer:

  -(√2)/2

Step-by-step explanation:

The expression evaluated at n=a gives the indeterminate form 0/0, so L'Hopital's rule can be used to find the limit. The second expression comes from differentiating numerator and denominator. Then the form with n=a is no longer indeterminate.

  \displaystyle\lim_{n\to a}{\frac{\sqrt{2n}-\sqrt{3n-a}}{\sqrt{n}-\sqrt{a}}}=\lim_{n\to a}{\frac{\frac{2}{2\sqrt{2n}}-\frac{3}{2\sqrt{3n-a}}}{\frac{1}{2\sqrt{n}}-0}}\\\\=\sqrt{a}\left(\frac{2}{\sqrt{2a}}-\frac{3}{\sqrt{3a-a}}}\right)=\boxed{-\frac{1}{\sqrt{2}}}

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Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1
Hitman42 [59]

Answer:

(f\circ g)(x)= x + 4

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

(f\circ g)(x)=f(g(x))= - (-x -1) + 3

Removing parentheses:

(f\circ g)(x)= x + 1 + 3

Simplifying:

\mathbf{(f\circ g)(x)= x + 4}

5 0
3 years ago
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Arrange the numbers highest to lowest.

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Step-by-step explanation:

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Step-by-step explanation:

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