La función Yh \( = \) C1 \( e^{0.66 x}+ \) C2 \( \boldsymbol{e}^{0.25 x} \) es solución de la siguiente ecuación \( 12 y^{\prime \prime}-5 y^{\prime}-2 y=0 \) verdadero Falso

\( \lim _ { n \rightarrow \infty } ( \frac { n } { n ^ { 2 } + 1 } + \frac { n } { n ^ { 2 } + 2 } + \cdots + \frac { n } { n ^ { 2 } + n } ) = \)

If a car has an acceleration function of \( a(t) = 6t \), what is its velocity function assuming it starts from rest?

Sea la serie \( S=\sum_{k=1}^{\infty} \frac{2^{k}}{k!} \). La serie Ses:

(j.) \( y=\ln \sqrt{\frac{2}{x^{3}}} \)

If \( \left\langle a_{n}\right\rangle \) and \( \left\langle b_{n}\right\rangle \) are two sequences such that \( \lim _{n \rightarrow \infty} a_{n}=i, \lim _{n \rightarrow \infty} b_{n}=m \), then prove that: \( \lim _{n \rightarrow \infty}\left(a_{n}+b_{n}\right)=l+m \)