Pergunta
1. lim _(xarrow 0)(x)/(2x^2)+4=underline ( ) A. 0 B. 1 (1)/(2) D. infty 2. lim _(xarrow 0)(sin4x)/(2x)=underline ( ) A. 4 B. (1)/(4) C.2 D. (1)/(2) E. infty 3. Let f(x)= ) (x^2-16)/(x-4)&for0leqslant xlt 4 kx+3&forxgeqslant 4 if fis continuous at x=4 the the value of k is A. 4 B. (4)/(5) C. (5)/(4) D. (7)/(4) 4. If f(x)=x^3-x , then f'(1) = f'(1)=underline ( ) A. 2 B. 3 C. 4 D. 5 5. If f(x)=e^-2x , then f^(2)(x)=underline ( ) A. 4e^-2x B. -2e^-2x C. 2e^-2x D. -4e^-2x 6. The function f(x)=x^3-1 is strictly increasing on the interval A. (-infty ,0) B. (0,infty ) C. (-infty ,infty ) D. [0,infty ) 7. The critical number of the function f(x)=x^2-4x+1 is A. 1 B. 2 C. 3 D. 4 1
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Camila EduardaElite · Tutor por 8 anos
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1. $\lim _{x\rightarrow 0}\frac {x}{2x^{2}+4}=0$<br />2. $\lim _{x\rightarrow 0}\frac {sin4x}{2x}=4$<br />3. Let $f(x)=\{ \begin{matrix} \frac {x^{2}-16}{x-4}&for0\leqslant x\lt 4\\ kx+3&forx\geqslant 4\end{matrix} $<br />if $f$ is continuous at $x=4$ then the value of $k$ is $\frac{5}{4}$<br />4. If $f(x)=x^{3}-x$, then $f'(1)=2$<br />5. If $f(x)=e^{-2x}$, then $f^{(2)}(x)=-4e^{-2x}$<br />6. The function $f(x)=x^{3}-1$ is strictly increasing on the interval $(0,\infty)$<br />7. The critical number of the function $f(x)=x^{2}-4x+1$ is 2
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