a sinx -bX COSX -2 is The value of a and b for which lim x 0 DA -3, b-3 O8. arb 2 OC -2 b+3 OD a3, b1

Q: Sin (πω) lim W→-4 w? sir ω 6!

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Q: x łan 5x sin? (2x) lim

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Q: O O The limT(x-1) [(x^3 e^(1-x)--4 * sinTtx) ] =1 a. True b. False

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Q: sin 3. Q.2 The lim is

A: Introduction :

Q: Find the limit

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Q: 4 sin? r d) lim a-0 3x tanx

A: see below the answerHere we use the L'Hospital Rule islimx→af(x)g(x) is of the form 00 then…

Q: 1+ cos r 11. lim (r- 7)*

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Q: RX lim sec 3 X-2 a. -2 b. V3 C. V3 b None of these

A: The limit of a variable approaches to a certain point of an expression (function ) can be calculated…

Q: sin(2mx) lim cos(mx) Evaluate 2m A 2m B 1/2m 2 D 1/2

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Q: cos 5x Find lim ( x³ + 10,000 x→0

A: We have to find the given limit: limx→0x3+cos 5x10, 000 This limit has determinate form so we just…

Q: sin2t Evaluate lim t O a. 0 O b. 2 О с. 1 O d. -2

A: To evaluate limit: limt→ 0sin2tt

Q: の lim 3x? メ→ 1-cos (x) b) lim 6) Xうo

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Q: sec x-cos X lim equals (A) 0 1 (B) (C) 1 (D) 2 (E) none of these

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Q: valuating 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=0.36 1x²-4 2…

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Q: x + 3x - 4 ? 1. What is lim 2 x→2 2. What is lim tan(x)? 3

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Q: x* –1 lim 6 sin x For B = - which one is B? x→0+

A: We have to use series expansion here.

Q: 2+ sec (3x) (c) lim r>n/6 tan (3x) - 1

A: As student Request (1)c . So i am authoring (1)c.

Q: tan (xy) = ? lim (х, у) ->(1,0) у + 2хy

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Q: tan (xy) lim = ? (х, у) ->(1,0) у+ 2ху 1 1 (b) (e) (c) 를 (d) i (а) 0 (e) 1 3 ||

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Q: cos(2x)–1 lim x'+ 5x ? 3

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Q: sin9x Evaluate lim x +0 8x O a. 0 O b. -9 8 О с.9 O d. 9 8

A: D option

Q: sin 9x Evaluate lim X0 5x A. -9/5 C. 9/5 B. 0 D. 5

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Q: 1 – cos4x lim =? sinx O A) -4Pİ O B) 0 O C) Pİ O D) HİÇBİRİ O E) 4Pİ

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Q: (sin x)(15x4 – 5x + 8) Let f(x) = 4x Find the value of limr→0 ƒ(x), or state that it does not exist.

A: Given f(x)=sinx(15x4-5x+8)4x

Q: (=)- lim- sin +sin +..+sin В) -2 C) 0 E) - A) 2 D) 2

A: Consider the provided expression, limn→∞πnsinπn+sin2πn+...+sinnπn The above expression is simplified…

Q: TT sin ax if x < f(x) D- COs ax if x 2 find the value of a so that Screen Shot 2021-10-05 at 8.32.50…

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Q: Evaluate: tan(5r) a) lim 12z b) lim (cot(8) + csc(0))

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Q: cot x lim * cos x O a. 2 O b. 0 O C. -1 O d. 1

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Q: tanx The value of lim is the same as x-o Sin2x 1 A lim x0 2cos?x B none of the given choices sin?x ©…

A: We can solve it using trigonometric rules as below.

Q: 8x? 2. lim x0 cos x - 1 (A) -16 (В) -1 8. (C) . (D) 6

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Q: tan(xy) = ? 2. (х.у) -> (0,1) х*у+х lim (a) 0 (b) (e) (c) (d) - (e) 1 3 -14

A: L'Hospital's Rule: If you have a some function f(x) or g(x) that both approach 0 as x→c…

Q: tan(xy) lim (х, у) -(1,0) у + 2ху 1 (с) 3 (d) 4 (а) 0 (b) (е) 1

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Q: For what values of a & b is the following true?  (limx->0)((sin2x/x^3)+a+(b/x^2))=0

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Q: tan(хy) = ? lim %3D 2. (х,у) ->(0,1) х*у+x (a) 0 (b) (c) (d) (е) 1 -12

A: We have to find the value of the given limit: limx,y→0,1tan xyx2y+x The given limit is 00…

Q: Solve メ<。 FCX)= [ X - , メ-o x 7o 2. Can be dis played as i FCX Js X-I when x <o,I when X-0,X-l wh en…

A: To show that the functional value at x=0 and the limit as x tends 0 are not equal.

Q: lim x-0 sin? 7x 2

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Q: B) Answer only two questions: sin 04) find limx-2n 2x-4n

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Q: -2x 01. lim,-»o 4 sinx

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Q: Tovestigate the limnts of the fallowing Functions 2xy? 6.) foay)- 3.3 1. at the origin

A: Answer

Q: 2x tan -1 I + COS (b) lim

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Q: 1- sin r a) lim csc x e – 1-r- a? b) lim c) lim r*

A: Calculate the limits in the following way:-

Q: nd lim sinx -b x2 our answer: b. 2b does not exist ear answer

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Q: a + cos bx Find all values of a and b such that lim -1. x2

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Q: sin2 5t Find lim t2 t0

A: We need to evaluate the limit

Q: lim g (y) where, g(y) = Sy? +5 if y -2

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Q: Evaluate the limits.

A: As per the bartleby guidelines for more than one part only only one has to be solved. Please upload…

Q: sin(x²-11x+30) Find limx→6 х-6 a. 0 b. 1 с. 7 d. 11 e. None of the above

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Q: tan(хy) = ? x²y (х, у) -> (0.1) х*у+х ¯y+x lim

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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.