1 Let f(x)=x²e² the value of — lim [ƒ(x)]¹/* i is: a) b) 1 d) 1 e c) 0 1 -19 4e

Q: Let f(x) = 1²-16 +4 1²-16 H-4 x > 0 I≤0 Find lim f(1)

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Q: 1. Let f(x) = 3² – 2x + 1. Compute lim (x)f – (4 + x)f 0+-4

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Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)>0 when…

Q: 3r2 +7, r> 2 f(x) = | 5x – 1, r<2

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Q: (4) Let f(x) be the function whose domain is all of R given by the rule 42 if r € Z and f(x) = 10…

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Q: Find each of the following from the graph. a) lim f(x)= b. lim f(x)= x-2" c) (2) =| 2 3 d) Does lim…

A: To evaluate the indicated limits:

Q: 2x – x y- 3y² a. Evaluate lim, (x,y)→(-1,1) x+y

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Q: Suppose f(t) = 5t² + t + 3. Evaluate: lim f(t) = t→-2

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Q: lim 극 et – 1 x-1

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Q: 22. On what value of x is f(x) = x2+3x-10 has %3D x-2 removable discontinuity? A) 5 B) -5 C) 2 D) -2…

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Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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Q: Consider the function f defined on the domain -0.5 s x s 0.5 with f(0) = 1, and 0.5 lim h 0 f(x+h)-…

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Q: I if X > 4 and J (X). 4X + 1 i1 X<4. Find lim f(x) x→4+

A: Given; f(x)=√x-1 if x&gt;4 and f(x)=x2-4x+1 if x&lt;4.

Q: In a model of the nervous system, the intensity of excitation of a nerve pathway is given by I = E[1…

A: Given  that: I=E1-e-a(S-h)E

Q: Suppose f (x) -7x -3x - 8 Evaluate: lim f (x) x→5

A: This is question of limit and continuity Here we have to find limit of function at given value…

Q: If f (x) is continuous e (a,b], we define | f (x) dx= lim | f(x) dx . on Xa+ A True B False

A: Solution

Q: (d) fof(2)= (e) lim f(x)= x→0 5f(x) (f) lim x+3 || =

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Q: If f(x) = 2x? – x + 2 , what is lim 2x2 – x + 2, lim 2x2 – x + 2, andf(2)? Is f(x)continuous at 2? O…

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Q: c) If x(0) = 0.5, then find lim x(t). t→∞

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Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

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