I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim x-3 (x-3) tan(9-x²) sin² (2x - 6)

Q: Q2:- Evaluate the magnitude tan (2x) 1. lim

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Q: Find lim (1 + sin5x) cot3x x-0+

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Q: a. f (x) sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find lim(2 – x)tan(r2/2)

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Q: Find: tanx-sinx d) lim x3 4.

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Q: 1 2. Lim x0x 1 sin x

A: Given:      limx→0+1x-1sinx simplifying we get     =limx→0+sinx-xxsinx Apply L'Hospital's Rule:…

Q: tan x B:: Find limx-0

A: Limit of the function

Q: x + sin x 5. lim x 2x + 5

A: We have to solve:      limx→∞x+sin x2x+5

Q: H.W. Find x-sinx 1. lim X-0 x-tanx

A: “Since you have posted a question with multiple questions , we will solve first for you. To get…

Q: x - sin x 2. Find lim x - 0 x - tan x

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Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: 3. Find lim x sin II

A: Given limx→∞xsin(πx)

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: Find lim x+x:

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Q: Find the limits lim x→1- sin-1x

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Q: Evaluate the following: Lim(x to 0) (1+x-cosx-sinx)/(x+cosx-sinx-1)

A: This question is related to limit.

Q: 5. Prove that if lim g(r) = 0 then lim g(x) sin () = 0. %3D

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Q: 1f. lim (tanx)x x->0+

A: Given,

Q: (x² - 3) 7. Build a table to estimate lim sin x

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Q: d. lim f(x) %D X-3-

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