Question

Use the functions f and g defined by the graphs in Fig. 10 to determine the following limits.

a. lim x→2  f(x).g(x)       b. lim x→2  f( g(x) ) 

 

Please include calculation and some explanation. Thanks

Answer 1

a.

Lim x→2 f(x)=1, g(x)=¾, f(x).g(x)=1×¾=¾, but the value of g(x) is estimated from appearance.

b.

Lim x→2 g(x)=¾, f(g(x))=f(¾)=? because we don’t know more about f(x) as a function, except that f(¾)<2.