1- cosx Find k so that f(x) =• 4x2 is continuous at x=0 k, x=0

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Q: f(x) = { cos x, xpi  which lim does not exist

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Q: 1- cos x The lim X40 sin x is equal to O 2 Zero O-

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Q: 1-cos (x-7) lim ثم اختر الاجابة الصحيحة؟ أحسب الغاية التالية xt (x-n)sin (x-7)

A: We will use the limit theorems to evaluate the limit as x tends to π.

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A: Topic:- limits calculus

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Q: Q 3/ x-sin x A- Find lim,0 1-cos x.

A: Explanation and solutions is given below....

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Q: Find the critical points of the following function on the given interval. Identify the absolute…

A: Given function:                                  g(x)=-12sinx+12sinxcosx    on 0, 2π   Let's take…

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Q: i) lim(In (3x– 2)– In(5x+4)) Зх +1 lim 1 j) x0* sin x k) lim (csc x- cot x + cos x)

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Q: e-3sin z (c) lim x² (d) lim sin(rx) lIn (x – 1) x→1+

A: The given limit is: (c) limx→∞e-3sinxx2  To find the value of the limit.

Q: lim cos x + x cos a. 0 b. 1 d. does not exist

A: This question is based on Squeeze theorem.

Q: x²+3 1) lim X00 x2+4 1-cos x sin x 2) lim- X-0 sinx 3) lim X-0 ex-1

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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: Find the limits

A: Find the limit limx→-πx+4cosx+π

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Q: 1-cos (xーT) lim X-n (x-)sin (x-n)

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Q: Find the extreme values of the function f on the interval 0, 7, and the x-value(s) at which they…

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Q: sin 3kx Find k such that f (x) = x + 0 is continuous everywhere. %3D 6 - k x = 0

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Q: 3. Find the absolute maximum and the absolute minimum of f(x) = x-2 tanx on the interval [0,4].

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) +…

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Q: Mic differentiation to Find der :Vative Of Y «in(x+7) x+7)* (In(x+7) + X. X-1 H7)* (x+7) t x+7

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Q: cos x In (1 + x) a) dx. b) lim 1 - cos x

A: Given: ∫011-cos xx2dx limx→0ln1+x21-cos x

Q: 5. Interval 0 <x<n, function, f(x) = cos x.

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Q: (b) lim (e) lim x-0* V4+ Vx-1 x+sin x (h) lim X0 x+ cOS X x+sinx (k) lim [x] (n) lim X3 X

A: Limits questions

Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: 21. lim (x.y)-(0,0) x2+y2 22. sin( x* +y?) lim (xy)-(0,0)

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Q: (x-sin x) A- Find lim,-0 1-cos X/

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Q: 115 f(x) = ( 2x+ A) Find a egvation for the tang ent inu to graph f(X) at x 2 tan line %3D

A: Given that fx=2x+41/5 (a) The objective is to find the equation of the tangent through the graph…

Q: a tan(x) +b ,x0 so that f(x)={ cx +x+4b ,x=0, is continuous at b(2-x) x=0.

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Q: 7. f (x) : = sin x + cos x, [0,T] Determine whether MVT can be applied to f (x) on the closed…

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Q: 1/x tan *f(x)={ k, + x For what value of k, f (x) is x =0 continuous at x = 0?

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Q: 2²+ cos(x) x 0

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Q: sin(2rx) lim x → 7 x2 – 49 -0.2857 T 0.2857 T -0.1429 T 0.1429 T

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Q: sin(2(a? + y?)) 2(x2 + y²) f(x, y) sint as (x, y) → (0,0). Assume that polynomials, exponentials,…

A: Use limit rule to calculate

Q: 1-cos (x-T) lim x→T(x-T)sin (x-π)

A: Given limit, limx→π1-cosx-πx-πsinx-π

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A: In this question, concept of tangent is applied. Tangent A tangent is a straight line or plane that…

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A: Topic = Application of derivatives As per our guidelines , At a time only three sub-parts of a…

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A: Given the function is f(x) = cos x - x2 sin x

Q: -/- F(x) = x' cos(x*) dx Give a specific function for F(x). F(x) = Evaluate =x' cos(x*) dx -7

A: Specific function for F(x) is sin(x⁴)/4 + c

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

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Q: 1+ cos x (b) lim x→T 1 – COs x

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