Question

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))

Answer 1

In this question it is given that

`\lim_(x->-5)f(x)=17, \lim_(x->-5)g(x)=22`

And we have to find the value of the given limit

`\lim_(x->-5)(23f(x)+3g(x))`

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

`23\lim_(x->-5)f(x)+3\lim_(x->-5)g(x)`

Substituting the values of the given limit,

`23(17)+3(22)=457`