All the following limits do not exist EXCEPT. Select one: a. lim sgn(x) b. lim cos C. lim x-0 x d. None of them e. lim

Q: 4 lim X-0 x2 2 1-cosx

A: Given- limx→04x2-21-cosx To Find- The value of the limit.

Q: х3-2х-1 lim x-3

A: This question is based on Limits

Q: Find the following limits: 1. lim -2x/sqrt(9x2 - 3) as x approaches to positive infinity

A:

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: 4.) x²-9 lim X-3 x-3

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Q: lim sin x 25 6 x -

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Q: Find the limits sin (x? – 4) lim x - 2

A: Given the limit: limx→2 sinx2-4x-2

Q: Find the following limits using properties of limits:

A: Consider a function fx The limit of the function fx at x=a is given by: limx→a fx=fa

Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: 1. Evaluate 3 √² 13 0 |3x² - 12 dr.

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Q: x2-1 5.) lim x-1x2-3x+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.