8x–22>f(x)>x2+4x–18
lim is going to 2
i don't no where to start i keep getting 0
To find the limit as x approaches 2 for the given inequality, you need to evaluate the values of f(x) as x gets arbitrarily close to 2 from both sides. Let's break down the process step by step:
1. Start by substituting x = 2 into the inequality:
8(2) - 22 > f(2) > 2^2 + 4(2) - 18
16 - 22 > f(2) > 4 + 8 - 18
-6 > f(2) > -6
2. From the equation above, we can see that f(2) lies between -6 and -6. In other words, it is equal to -6. Thus, f(2) = -6.
Therefore, the limit as x approaches 2 for the given inequality is f(2) = -6. It is important to note that finding the limit does not involve variables like x anymore since it has converged to a specific value, which in this case is -6.