Let lim f(x)=-3 as x approaches 5 and lim g(x)=1 as x approaches 5.

Question

Find lim[f(x) + g(x)]^2 as x approaches 5. Answer choices: -4, 4, 10, -2?

Answer 1

Recall the limit properties.

• The limit of a power is the power of limit.
• The limit of the product is the product of the limits.
• The limit of the sum is the sum of the limits.

                            

                           

                          

                         

                         

                        

Second option is correct choice.