evaluate the limit by using change of variable
lim x--> 27
To evaluate the limit using a change of variable, we need to find a substitution that simplifies the expression and allows us to easily compute the limit. In this case, let's make the substitution y = x - 27.
To evaluate the limit as x approaches 27, we first substitute y = x - 27 into the expression:
lim x--> 27 (x - 27)
Now we can see that when x approaches 27, y approaches 0. So, the limit can be rewritten as:
lim y--> 0 y
Now, we can see that as y approaches 0, the expression y becomes 0 as well. Thus, the limit evaluates to:
lim y--> 0 y = 0
Therefore, the limit as x approaches 27 is 0.