How do you evaluate the limit #root6(2x-14)# as x approaches #7#?
1 Answer
Oct 28, 2016
We can reason as follows:
As
#2x# gets closer and closer to#2xxcolor(red)(7)# which is#color(orange)14# , so
#2x-14# gets closer and closer to#color(orange)(14)-14# which is#color(green)0# , and
#root(6)(2x-14)# gets closer and closer to#root(6)color(green)0# which is#0# ,
In the end we got the same thing as we would get by substituting
