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uysha [10]
3 years ago
12

Suppose f and g are two functions defined on some neighbourhood of c such that lim f(x)=l and lim g(x)=m.Show that lim f(x)+g(x)

=l+m
Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

Trivial if you use limit laws.

\lim f(x) + g(x) = \lim f(x) + \lim g(x) = l + m

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2 years ago
PLEASE HELP!!!!!!!!!!!!!!
Alex17521 [72]

Answer:

angle = 50.8° (to the nearest tenth of a degree)

Step-by-step explanation:

In a right triangle:

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We have been given the measures of the <u>shorter leg</u> and the <u>hypotenuse</u>, so the angle between them is the <u>larger acute angle</u> (which we need to find).

shorter leg = 3√6 cm

hypotenuse = 3√15 cm

So to find the angle, we need to use the trig ratio: cos(\theta)=\frac{adjacent}{hypotenuse}

If \theta is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.

Substituting the given values:

cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }

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Therefore, the angle = 50.8° (to the nearest tenth of a degree)

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2 years ago
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