3. What does it mean to say the limit of f(x)f(x), as xx approaches cc, is undefined?For the following exercises, evaluate the limits algebraically.4. limx→0(3)limx→0(3)5. limx→2(−5xx2−1)limx→2(−5xx2−1)...
Algebraically, you will approach the x-value from both directions. However, it is relevant you see that it is possible that the function follows different pieces from both directions. (It did from our graphical examples!) But when should you look at different pieces? Simple – when the ...
To algebraically approach finding domain and range, we need to follow several steps. Let's look at them now: Steps to Finding the Domain Step 1. Set the inequality to 0 instead of y or f(x): Step 2. Factor the polynomial completely, then set each factor equal to zero to find ...
The four states are not orthogonal except in the limit of infinite α . The states can be distinguished by simultaneous measurement of quadrature phase amplitudes X ^ and P ^ , but for any finite α there is an overlap of the states, which introduces an error. For example, the states |...