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Amr Ali

Amr A.

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INSTANT ANSWER

f(x)=(3^x -1)/(3^x +1) f^-1 (x)

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INSTANT ANSWER

3. \( \mathrm{f}: \mathrm{R}^{-} \rightarrow \mathrm{R} \) \( \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}+5 \mathrm{x}-18 \) \( \Rightarrow\left(\mathrm{f}^{-1}\right)^{\prime}(-4)=? \)

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INSTANT ANSWER

\( f(x)=\left|x^{2}-3 x-4\right| \) \( \Rightarrow f^{\prime}(2)=? \)

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ANSWERED

36. \( \lim _{x \rightarrow 0} \frac{\sin 5 x}{\sin 4 x} \)

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34. \( \lim _{h \rightarrow 0} \frac{\sin (\sin h)}{\sin h} \)

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Use the graph of the greatest integer function \( y=\lfloor x\rfloor \), Figure \( 1.10 \) in Section \( 1.1 \), to help you find the limits in Exercises 19 and 20 . 19. a. \( \lim _{\theta \rightarrow 3^{+}} \frac{\lfloor\theta\rfloor}{\theta} \) b. \( \lim _{\theta \rightarrow 3^{-}} \frac{\lfloor\theta\rfloor}{\theta} \) 20. a. \( \lim _{t \rightarrow 4^{+}}(t-\lfloor t\rfloor) \) b. \( \lim _{t \rightarrow 4^{-}}(t-\lfloor t\rfloor) \)

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