Determine whether or not the function f(x) = x* *has horizontal asymptote as x approaches positive infinity. Find the limit algebraically, i.e. using Limit Laws and/or L'Hospital's Rule that allow you to rewrite the expression and "plug-n- chug.

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Q: Use​ l'Hôpital's Rule to find the limit.     lim t--> -2           t3-6t-4/t2-t-6

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Q: What is the limit when x is approaching negative infinity when the function is (8x+2) / (4x-5)

A: Given

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A: The given function is Now, find the limit when x approaches to-7

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A: Given query is to find the Indicated limit.

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A: Note: Multiple subparts are given we are answered with first three parts only.

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Q: Use l'Hopital's Rule to evaluate the limit. lim X- 00 4x 3/2

A: The given expression is limx→∞x2+4x-x.

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.