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

1. 2. 3. Let if is continuous at then the value of is 4. If , then 5. If , then 6. The function is strictly increasing on the interval 7. The critical number of the function is 2