1. Solve the following limits. (a) lim 1-- V1+ r2 x Inr (b) lim 2-0 I+ In r 2 + sec (3r) (c) lim z-/6 tan (3r) - 1

Q: 22. If f(2)=sin 2, then lim (2)-f(z) z-2 2-2m (A)-2T (B)-1 (C) I (D) 2T

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A: See the attachment

Q: Vx+5 1. State the domain of f(x) = 10° using interval notation.

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Q: lim (nx{n(x -1)=? Use L'Hospital's Rule

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Q: 26. ƒ(x) = 2x² − 3x + 1, g(x) = 3√x + 6 - (a) lim f(x) (b) x-4 lim g(x) (c) lim g(f(x)) x→21 x→4

A: f(x) = 2x2 - 3x + 1g(x) =   limx→4 f(x) = limx→4 {2x2 - 3x + 1}                     = 2×42 - 3×4 + 1…

Q: 1-cos r-r² 1) lim,-0

A: " Since you have asked multiple question , we will solve the first question for you. If you want any…

Q: 3. j. lim f(x) k. lim f(x) X→3+ 3. 1. lim f (x) I m. lim f(x) x→3 y f(x) n. lim f(x) о. f (3) X→+∞

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Q: lim¸ √x³ +8-3 x+1 7. Evaluate x→-1 8. Use a table of values to find an approximate value of limx→…

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Q: odd-numbered exercises. x- 2 4. lim x→2 x² - 3x + 2 ww 2.01 2.1 2. (x) x+1- 1

A: Answer is- 1 Explanation is given below...

Q: (a) Evaluate the following limit: lim ) (1-e3x x²+3x, x-0 (b) Find the equation of the tangent to…

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Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

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Q: #1. lim t-tvt 213/2 12 +3t – 5 t→ 00 #2. lim x → - o0 x' +1 #3. lim tan1 (In x) x → 0+

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Q: Q2: Evaluate: [1] 21 lim m COSXVI+ COSX – v1-x, sin-1(x) V1+x - [3] lim-o

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…

A: As per the instruction, post the question again for question (5). For (1),    limx, y→2,…

Q: (2e + 1)" lim (tan(x))" DNE ||

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Q: x° +2y² +x*y lim (* ,y') → (0, 0) x* +3y - x*y

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Q: 1. Use L'Hopital's Rule to calculate the following limits: (a) lim,- sin a. (b) lim,→1- T/2-sin-1x…

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Q: Find the lim ex-y limit or (xy)-> (0,1) 2 cosx-1-y Show that it does not exist. DNES

A: To find the limit .To show that it does not exist.

Q: Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2)…

A: limx→3π2sin2x+6sinx+5sin2x-1