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laiz [17]
3 years ago
14

Lim as x approaches pi/4:

Mathematics
1 answer:
lozanna [386]3 years ago
5 0
\lim_{x \to  \pi /4}  \frac{tan x - 1}{x- \pi /4}  =  \frac{0}{0}
With L` Hospital`s Rule ( ( tan x ) ` = 1/ cos^2 x ) :
\lim_{x \to  \pi /4}  \frac{1}{cos ^{2} x} =  \\ = \frac{1}{cos ^{2} ( \pi /4)}  = \\  \frac{1}{1/2}   =  2


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x2y - 2xy - 24y = y(x2 - 2x - 24) What is the completely factored form of x2y – 2xy – 24y? (xy + 4)(x – 6) xy(x + 4)(x – 6) y(x
likoan [24]

we are given

x^2y-2xy-24y=y(x^2-2x-24)

now, we can factor out right side term

x^2-2x-24=x^2-6x+4x-6*4

x^2-2x-24=(x-6)(x+4)

now, we can plug back

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so,

x^2y-2xy-24y=y(x-6)(x+4).............Answer

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2 years ago
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B

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3 years ago
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