In cos 2.x 4. Find lim -0 In cos 3x

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A: To find,   limθ→∞cosθ-1θ  Let y=limθ→∞cosθ-1θ Limit is tending towards positive infinity, let us try…

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Q: 65. lim (cos x)/

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A: The given function rewrite as

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A: We have to find the limit: limx→∞e1xcos 1x We know that 1∞=0

Q: 1. Find the following limits. 2 sin(2x) – x (a) lim

A: Our Aim is to find the limit of the following expression given below:-limx→0 2 sin (2x)-xx-(i)

Q: Q4: A) solve: 1+xsin 1) lim- y0 1+xcos sin 2) lim -2m 20-4

A: Note: We are entitled to solve only one question at a time. To Find: i. limy→01+xsin1x1+xcos1xii.…

Q: Can i get help step by step with this problem?

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Q: -2x lim (e cOs x) х) x → 00

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Q: Q3) Find: (1) lim, 1+cos 2x (2) limx→-2- (x + 2) |4-x²| 2-x

A: Q3)1Here, we need to calculate the limit of ,limx→π21+cos2x4x-π2

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

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Q: b) If x sin x 2 - 2 cos x hold for all values of x close to zero. Find limx0 xsinx ? 2-2cosx

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A: Given,             limx→0xlnsec2xsin3x3

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

Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO FO x-5 • lim х-5 х2-25 = 10 FO

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Q: Evaluate: lim, 0 sin 2t t³ (t-1)²

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Q: Evaluate: lim, (cos z). Show your solution. O -1

A: Limit of a function f(x) at point x = a exists only when Left hand Limit(LHL) = Right hand limit…

Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

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Q: What is lim tan(x)? Why? AY 10 8 6. 4 2 -0.S 0.ST, 0.5n, 1.5a, 27 2.5m -4 -10

A: Given limit is limx→π2+tan(x) As shown in the graph of tan(x), as x approaches π2 from right side ,…

Q: 3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

A: We have to find the limit.

Q: Exaluate the following limi- 1. lim to + x' xー>-○ x(- 2x2 +5) x° 2. lim sin 3(2x+1) ×ー>-ム 2 2x +1

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A: We have to find the limit

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Q: lim,-o ([sin x]*) is

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Q: 1 + cos(x) a) lim %3D 20 -x ) lim x-1( In(61x-60)

A: Given, limx->π (1+ cos (x))/(6(x-π)²) = (1/6)limx->π (1+ cos (x))/((x-π)²) = (1/6)limx->π…

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Q: Evaluate: lim   (1−cos−1x)csch(1−x) x→1−

A: We have to find the limit.

Q: (3) Evaluate lim -(1+sin(4))t dt

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Q: 1. Find the limī lim In(sin x) X→π-

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Q: 2 lim(cosx)x² =? x→0

A: Given: limx→0cosx2x2=limx→0cos2x2x

Q: 15x 5. Find lim using special limits. X→0 sin 3x

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Q: If 6 – 4x <g(x)<6 cos x for all x, find lim g(x).

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Q: Q3) Find: (1) lim, V1+cos 2x (2) lim-2 (x+ 2) 14-x2

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Q: 5. Show that lim –nx² e dx = 0.

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Q: 73. lim In(cos x)

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Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

Q: Evaluate

A: Our Aim is to evaluate the limit given below:-limx→0tan (2x)x-(i)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.