Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 2x - 4x - lim x4 14x-8 X→-1X" +2x – 4x- - 10x –5 How should the given limit be evaluated? Select the correct choice below and, if necessary, fill in the answer box to complete your ch O A Multiply the expression by a unit fraction to obtain lim X→ - 1 O B. Use direct substitution. U C. Use l'Hôpital's Rule more than once to rewrite the limit in its final form as lim ) X -1 O D. Use l'Hôpital's Rule exactly once to rewrite the limit as lim X→ - 1 Evaluate the limit. 2x - 4x2 - 14x-8 lim x* +2x - 4x2 -10x-5 (Type an exact answer.) 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.