Biết \(\mathop {\lim }\limits_{x \to + \infty } f\left( x \right) = m;\,\,\,\mathop {\lim }\limits_{x \to + \infty } g\left( x \right) = n.\) Tính \(\mathop {\lim }\limits_{x \to...

Câu hỏi :

Biết \(\mathop {\lim }\limits_{x \to  + \infty } f\left( x \right) = m;\,\,\,\mathop {\lim }\limits_{x \to  + \infty } g\left( x \right) = n.\) Tính \(\mathop {\lim }\limits_{x \to  + \infty } \left[ {f(x) + g(x)} \right]\)

A. m + n

B. m - n

C. m

D. n

* Đáp án

A

* Hướng dẫn giải

\(\begin{array}{l}\mathop {\lim }\limits_{x \to  + \infty } \left[ {f\left( x \right) + g\left( x \right)} \right]\\ = \mathop {\lim }\limits_{x \to  + \infty } f\left( x \right) + \mathop {\lim }\limits_{x \to  + \infty } g\left( x \right)\\ = m + n\end{array}\).

Copyright © 2021 HOCTAP247