Mathematics - 2013 E.C (2020/2021) Ethiopian University Entrance Exam (EUEE)

A 8m

B 4m

C 14m

D 12m

A $$\sum_{n=1}^{\infty} 5^{11-2n}$$

B $$\sum_{n=1}^{\infty} \left(\frac{2}{5}\right)^{-n}$$

C $$\sum_{n=1}^{\infty} \left(\frac{3}{2}\right)^n$$

D $$\sum_{n=1}^{\infty} 2^{2n-5}$$

A $f$ is continuous on $(a, b)$, $f$ is continuous from the right at $a$ and from the left at $b$

B $f$ is continuous at each point in $(a, b)$ and at both $a$ and $b$

C $f$ is continuous on $(a, b)$, $f$ is continuous from the left at $a$ and from the right at $b$

D $f$ is continuous on $(a, b)$, $f$ is continuous from the left at $a$ and from the left at $b$

A The velocity at 2 seconds is given by 124 m/sec

B The velocity $v$ at any time $t$ is given by $v(t) = 16t^2 - 4$

C The acceleration of the particle at 1 sec is 48 m/sec²

D The particle is at rest at $t = 0.5$ seconds

A 5

B 3

C 20

D 15