3 years ago

60 is 5 times as great as k

Mathematics

1 answer:

jeka57 [31]3 years ago

7 0

60=5k is the answer for your question

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Answer:

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Step-by-step explanation:

Given problem is $\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$ .

Now we need to evaluate the given limit.

If we plug $\x=\frac{\pi}{4}$ , into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule

take derivative of numerator and denominator

$\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$

$=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}$

$=\frac{sec^2(\frac{\pi}{4})-0}{1-0}$

$=\frac{(\sqrt{2})^2}{1}$

$=\frac{2}{1}$

Hence choice C is correct.

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where is the hint

Step-by-step explanation:

you might want to try reading the hint

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