CHECK YOUR PROGRESS 20.5 Ir )-2 1. when xal and R-3 when x-1, show that dhe fnction f0) continuous at x-1. (4x+3, x2 3x +5, x-2 (e) Determine whether f) is continuous at x-2, where Jax+3, xs2 d whether the function f'is continuous at x-2 ()- 8-x, x2 (d) Examine the continuity of f(x) at x-1, where 5, x>l (e) Determine the values of k so that the function (x) is con tinuous at x2 3 >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.