Consider the following limit.  lim x→7 (2x + 7)  Find the limit L. L =     (a) Find the largest δ > 0 such that  |f(x) − L| < 0.01 whenever 0 < |x − c| < δ.  (Round your answer to five decimal places.) δ =  (b) Find the largest δ > 0 such that  |f(x) − L| < 0.005 whenever 0 < |x − c| < δ.  (Round your answer to five decimal places.) δ =

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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.