28. Let g(x) = = X3 x² 1 + 2x Which of the following statements are true? 1. lim g(x) = 0 x>0 II. lim g(x) = 1 x+0+ III. lim g(x) = 0 x→0 - I, III, V, VI only IV. lim g(x) = 1 x1- I, III, IV, V only V. lim g(x) = 2 x+1+ VI. lim g(x) = 2 x-1 III, IV, V, VI only x² O II, III, IV, V only if x < 0 if 0≤x≤1 if x > 1

Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

A:

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: lim Sin (x-B) XB (x-B)

A:

Q: How can I find x?

A:

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: lim X+ X+)X +3 2x-X-1

A: Given: The function is  f(x)=x3+x2+x+32x3-x-1   To determine: limx→1x3+x2+x+32x3-x-1

Q: 46. lim h→0 (x + h)³ - x³ h bluow

A:

Q: Find lim (x,y)-(0,0) y7x⁹8x97y8 + x105 xy7 +x8

A:

Q: X 19. lim x→1x² + 4

A: To evaluate the following limit.

Q: V3+h -V3 Evaluate lim h→0 2.

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Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

Q: X lim x→1x² + 4

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Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: 2. lim_f(x) = x--5 -5.001 |-4.999 || -4.5 f(x) |-11.1 | –11.001 | –10.99 | –10.2 -5.5

A: From the table we see that: At x=-5.001, f(x)= -11.001 At x=-4.999, f(x)= -10.99

Q: f(x+h)-f(x) vi) lim h→0 where f(x) h

A: That's easy. Thumb up. Have a good day!!!

Q: ソ→0

A:

Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: Evaluate Lim マ-1 X-1 区 -1

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Q: If lim x→0 a) f(x) x = 1 and lim x-0 lim g(x) x→0 g(x) – 2, evaluate: X b) lim x-0 g(x) f(x)

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

A:

Q: In(2+x) lim, x+-1 X+1

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Q: f(x, b) – f(a, b) fe(a, b) = lim x - a OTrue False

A: Given a limit : fxa,b=limx→a f(x,b)-f(a,b)x-a We need to find it it's true or false. Let's begin.