cos x 13. lim x-(7/2)* 1 – sin x e21 – 1 15. lim - -0 sin t 1 - sin 0 17. lim 0/2 1 + cos 20

Q: x²-4 1) lim х>2 х-2 sin 2x 2) lim x→0 3) lim( X→0`x 5x2-Зх 4) lim X→∞ 7x2+1 d 5) [In|sin x|] - dx d…

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A: Given: limx→∞xcos1x

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A: we have been given the equations to differentiate w.r.t x

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A: We have to find the limits .

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Q: 6- The functhions cosine and Sine hyper boli Cus are defined as ー× e^+é^ and cosh x 2. Sinhx= 2.…

A: We will prove the given result.

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A: i).…

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Q: 14. lim cos x 15. lim cos(x+ sin 16. lim

A: If any function is continuous within a given interval, then its limit must exist in that interval.…

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A: We know that cos0=1  For x=0-, cosx will be less than 1.  So, |cosx-1|= -(cosx-1)= 1-cosx for x=0-…

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A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: We draw the graph of y=-2x*sin(x^2) using graphing calculator

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Q: In Problems 7–16, use a table to find the indicated limit

A: The given expression is limx→24x3

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Q: Find the limits

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Q: |- lim メ→ X-3 2. lim メ→2 (会 4 メー2 メ*-4 3. lim メ→。 3メ - S;u4X 4. lim メ→。 tau3X 5- lim 1- Cose Sin'e

A: Since you have asked multiple questions. So, we are solving first few for you. If you want any…

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Q: (2) lim (cos x)¹/x² b Find the limits for values of x in radian system: (1) lim (cos x) ¹/x² x-0

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Q: x + sin 2x lim x-2 x – sin 2x О з O 2 O 1/3 О 12 O other:

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Q: sin(4z) f(x) = 9x 0.4 0.35 0.3 0.25 0/5 -0.25 0.25 sin(4x) Evaluate lim 9x Enter at least 3 decimal…

A: Let's find.

Q: 1. y=(-1/2)In(e^cotx^2) Find: sqrt of (y')x^-1 2. y=arctan(sin e^x) Find: ((y')e^-x)^2 +tanh^2 (e^x)

A: Now we will find y' and then solve the problem.  Here we will differentiate using chain rule.…

Q: sin 0 – cos 0 lim 0→x/4 tan0 – 1 2(cos x)2 + 3 cos x – 2 lim 2 cos x – 1 y In y – y lim y»e In(y5) –…

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Q: lim x->-7  (-x-7)/(4-√(9-x)) lim x->-infinity (√6x^2 - 2x)/(x+8) lim x->0 (7x cos x + sin 5x)/3x

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Q: cos(x)-1 lim-0 sin(x) limx-0 %3D = 1

A: Substituting x=0 in cosx-1xwill result in indeterminate form 00. Use L'Hospital's rule,…

Q: (1) limr-(n/2)-(tan x)cos x (2) lim,-o x-3(tan-x-x) (b) If у %3D 4u?-Зи + 2 %; и 3 е* + 2e2х, find…

A: For other questions reupload according to bartleby guidelines

Q: Limits with trigonometric functions Find the limits in Exercises 43–50.

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Q: 2x +5x-3 1. lim 6x -7x + 2 4x-6x+3 lim 16x +8x-7 4. x'+8 7. lim 2x-16 1 -1) h-0 hV1+h 10. lim ) sin…

A: 1) Here, the direct substitution  of the limit value will lead the denominator of the function to be…

Q: 5. y = tan-¹tan x] ab 6. f(x) = x² cos-¹¹-√x²-1 7. f(x) = tan ¹(sin² (2x)) 8. y = (cot ¹(sin¹(x))³

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Q: 1-cos 2X lim x→0 x2 sec x-tan x lim X→- X- 2 x2+sin 3x lim r20 2x+tan 2x

A: