Find each x-value at which fis discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. 3x 4 - x if 1 < xs 5 Vx if x > 5 if x s1 f(x) = Is f continuous from the right, left, or neither at this value? continuous from the right O continuous from the left O neither Sketch the graph of f. y y 10 10h 10h 8 8 8- 6 4 4 2 2 2 -2 2 4 6. 8 10 -2 2 6. 8 10 -2 2 6. 10 -2 -2 -2 -4 -4 -4 -6 -6 -6H -8 -8 -8H -10- - 10 F - 10- y 10- 8 6 4 2 -2 2 6 8. 10 -2

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.