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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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Step-by-step explanation:

» <u>Concepts</u>

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» <u>Application</u>

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» <u>Solving</u>

Step 1: Subtract q from both sides.

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Step 2: Add 8 to both sides.

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Step 3: Divide both sides by 3.

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Step 4: Plug in the value of q for side AB.

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Therefore, the answer is 8 units.

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ur welcome

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