contestada

Evaluate the limit assuming that limx→−5f(x)=17limx→−5f(x)=17 and limx→−5g(x)=22limx→−5g(x)=22. (use symbolic notation and fractions where needed.) limx→−5(23f(x)+3g(x))limx→−5(23f(x)+3g(x))

Respuesta :

Riia

In this question it is given that

[tex] \lim_{x->-5}f(x)=17, \lim_{x->-5}g(x)=22 [/tex]

And we have to find the value of the given limit

[tex] \lim_{x->-5}(23f(x)+3g(x)) [/tex]

Using properties of limit, first we separate the two functions, that is

[tex] 23\lim_{x->-5}f(x)+3\lim_{x->-5}g(x) [/tex]

Substituting the values of the given limit,

[tex] 23(17)+3(22)=457 [/tex]