lim f(x) where f(x) = x→1+ X, x ≤1 1-x, x>1'

Q: f(unx) If f (x+ y) = f (x)+ f (y) for all x , y eR and f (1)=1, then evaluate lim - -2/(sinx)…

A: Here the above question can be solved by using basic concepts of limit

Q: Find f '(a). 3t + 9 f(t) : t + 4 %3D Step 1 To find f'(a), we will use the formula f '(a) = lim t) –…

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Q: f (x )² – 1 When the function f(x) satisfies f(1) =1,f'(1)=3 obtain a value of lim x→1 - 1

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Q: х-tanx 2. lim х30 1-со 3 3. lim sinx lnx = 0 x→0+

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Q: x' +8 if x+ -2 Let f(x)={ x+2 [4, if x=-2 Which of the following four statements are true? I. f(x)…

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Q: Suppose that in the interval 7 ≤ x ≤ 19 you know that f'(x) is positive and f(x) is negative. Select…

A: Suppose that in the interval  7≤x≤19  you know that f'(x) is positive and f''(x) is negative.

Q: x'-1 lim xー→ 2x - 7 x +5

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Q: 3 sen y lim (xy)-(3,0)

A: Since lim(y tends to 0) sin( y)/y=1 Therefore, lim(x,y)tends to (3,0) x^3sin(y)/y=(3)^3×1=27

Q: (a) Find the equation of the tangent line to the curve 4x y-3x2 +5y = 10, at the point (1,-1).…

A: a)

Q: How would you denote ƒ' (−1) if ƒ(x) = x² + 3x +2? f(x)-f(-1) x+1 limħ-1 limä→-1 limh→0 limh→0…

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Q: f(x) -? The graph of a function f and its tangent line at 0 are shown. What is the value of lim x→0…

A: Given query is to find the limit of the expression.

Q: g(x) lim -2 h(x)

A: Please refer to the image below

Q: Which one of the following functions is not holomorphic function? O (A) f(z) = e" +i tanh ry. (B)…

A: Holomorphic functions are those which are analytic.

Q: limx→0  xcos(x)-sin(x)/x^3

A: Given: The limit limx→0xcosx-sinxx3, To find: The value of the limit.

Q: f(x)=lim f(xth)-f(x) find f'(5) 23 f(x) =7x² f'(5)= ?

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Q: 6. A function y(t) satisfies the equation: y - y = 2 cost Find all initial values y(0) = a such that…

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Q: Q.4: Prove or disprove, lim f(x) = 4 If f(x) = x # 2 x = 2' I-2

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Q: f is odd, J'(x) |for æ > 2, f"(x) > 0 for 0 3, lim f(x) = -2

A: First we will construct the graph for x>0.  Now, point x=2 is minima and x=3 is inflection point:…

Q: 1.0 1.0 -1 ction f (x) : shown above. (x – 5)(x – 8)² does not exist, Þut is neither o ner -o.

A: Given function

Q: f(x +h) – f(æ) Use the definition of a derivative f'(x) = lim to show if f' (0)does exist or h→0 h…

A: Given function is : fx=x2sin4x  , x≠00                 , x=0 Squeeze theorem: If xn≤yn≤zn for all…

Q: For the function y = f(x), find f'(a) using man lim = F(x) = x² + 7x, a = 3 f'(a) =

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Q: B. lim (tan x)* 1-0+

A: Given:  Let y=limx→0+ tan xx2 To Find: To evaluate the given limit.