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,

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