Tính lim x → x 0 [ f ( x ) + 2 g ( x ) ]

4/20

Cho các giới hạn \[\mathop {\lim }\limits_{{\rm{x}} \to {{\rm{x}}_0}} {\rm{f}}\left( {\rm{x}} \right){\rm{ = 1}},\mathop {\lim }\limits_{{\rm{x}} \to {{\rm{x}}_0}} {\rm{g}}\left( {\rm{x}} \right){\rm{ = 4}}\].Tính\[\mathop {\lim }\limits_{{\rm{x}} \to {{\rm{x}}_0}} \left[ {{\rm{f}}\left( {\rm{x}} \right){\rm{ + 2g}}\left( {\rm{x}} \right)} \right]\]

10.

Giải thích

\[\mathop {\lim }\limits_{{\rm{x}} \to {{\rm{x}}_0}} \left[ {{\rm{f}}\left( {\rm{x}} \right){\rm{ + 2g}}\left( {\rm{x}} \right)} \right]{\rm{ = }}\mathop {\lim }\limits_{{\rm{x}} \to {{\rm{x}}_0}} {\rm{f}}\left( {\rm{x}} \right) + \mathop {\lim }\limits_{{\rm{x}} \to {{\rm{x}}_0}} {\rm{2g}}\left( {\rm{x}} \right) = 1 + 2.4 = 9\].