For each of the following functions, find (∂z)/(∂x) and (∂z)/(∂y) (d) If z = (ax+by)^(2)+e^(ax+by)+\sin (ax+by), show that b(∂z)/(∂x)=a(∂z)/(∂y).

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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.