(3-12г (a) lim,→+∞ ( 3r+5 + csc 4x (b) lim,¬0 sin r-x² 2x (c) lim,¬∞ sec 4x+5 (d) lim,-0 1-cos r-x² (4) (f) limr→-∞ 212–x+4 (e) lim→+o COS (g) limr¬ sin 8r (h) lim¬0 sin(x) (1) lim,-0 l-cosr 1-cos I

Q: 5. Evaluate the given limits, or justify why they do not exist: -9 a. lim 3HI3 3r-8 b. 2x+6 4.x+1 c.…

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Q: Evaluate the following limits. I lim x-3-2-3 lim x3+x-3 I lim 1-3 2-3 || To Po

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Q: Evaluate the following limits. If needed, enter 'INF' for ool and '-INF for -o0. (a) V7 + 9x² lim I…

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Q: Find the limit. 4 Ilm x3 52 5

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Q: 2. Evalucte the foll owing limits. use algebraic opproach. DO NOT UIe tables. lim 2 +4 a. 2→-4 8?16

A: We see that limit is in Indeterminate form, To find that Using some algebra and then evaluate them.

Q: 15 + 3 — т7 3. lim 4л2 + 2л — 9

A: We have to find the value of limit

Q: VI. Find the following limits. 9x² +5-x 1. lim x-8

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Q: Find the following limits

A: Points to be noted:(1) Limit of a function is a value that a function approaches (the output) for…

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.