Investigate the discontinuity. Show the complete solution just like the example in the picture, use a. The Undefined answer and b find the limit. f(x)=2/x+4 Example in the picture

3. Infinite Discontinuity - In this type of discontinuity, at least one of the two limits is infinite. Example 8: Consider the function f (x) = x2, Solution: a. f (x) = f (2) = = = undefined The first condition is not satisfied. Therefore, the function is discontinuous at x = 2. b. Find the limits Table 1 X -4 -2 -1 0 1 1.5 1.7 1.9 1.99 1.999 f (x) -0.5 -0.75 -1 -1.5 -3 -6 -10 -30 -300 -3000 As the value of x approaches 2 from the left, f (x) approaches negative infinity. Table 2 X 5 4 3 2.5 2.4 2.3 2.2 2.1 2.01 2.001 f (x) 1.5 3 6 7.5 10 15 30 300 3000 As the value of x approaches 2 from the right, f (x) approaches positive infinity