a)f(x) has a removable discontinuity at x= 4. here's the value that i but at x=4 f(x)has removable dicontinuity as limx→4-f(x)=limx→4+f(x) ie. limx→4f(x) Exist but limx→4f(x)≠ f(4) my profosser said:That is right algebraically. You can show it on the graph by taking f(4)=1 (or anything that is different from the limit of f(x) as x->4). Show this point using a dot. where should it be i need help? b) A horizontal asymptote aty= 2.where that should be i need. help please

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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.