lim f(x+ h)- f(x) Find the difference quotient, h-0 for the function f(x) = 6-x %3D h h(x-6)(x +h-6) (x - 6)(x +h -6) 6. (x - 6)(x +h-6) 1 (x-6)(x +h-6)

Q: lim X-2 lim

A: Given: limx→2x-2x2+x-6limx→∞x3+xx3+x2+1

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A:

Q: lim 28 ー→2+2 GE) lin イ-2--2 ス-2 G月lim X2-x-G 33 -3

A:

Q: lim f(x) X-0 4 3 -2-1

A: The limit of a function at x= a is said to exist if its left hand limit is equal to its right hand…

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

Q: Lim x→∞  5x-3 − 4 / 2x-2 + 9 (ii) Lim x→∞ (x - 3)2 / x2/2 - 2x -3

A: Given limit   limx→∞ 5x-3-42x-2+9=limx→∞ 5x3-42x2+9=0-40+9=-49Therefore ,limx→∞ 5x3-42x-2+9=-49

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A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: x²- 25 (a) lim x+5 x- 125 x²-25 (b) lim x00 x-125 x²-25 (c) lim x+-5 x -125

A: We need to evaluate the following:

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Q: Limit x->8 (3-(x+1)^1/2)/(x-8)

A: Given limit is : limx→83-x+112x-8 To find the value of limit.

Q: Lim (x-> infinity) {(5x-3/x)/ (5x2 -4)]

A:

Q: lim 9 x^2-81/x-9

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Q: (x^3-x^2) divided by (x-1) lim x-> 1 Evaluate the limit.

A: GIVEN: limx→1 x3 - x2x - 1

Q: limit (x-> infinity) ({2-x)(3-2x)]/ [(x-1)(4x+3)]

A:

Q: limx-->0 Evaluate the limit (-4+h)2-16/h

A: Solve the limit

Q: lim     [f(2+x) - f(2)] / x = 5 then f is differentiable at x=2. x->0

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Q: Lim x->4 (x2-3x-4)/ (x-4)

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Q: x-269 Find lim x269 VX+20 -17 x-269 lim x 269 VX+ 20 - 17 (Type an integer or a simplified…

A:

Q: (2) lim 12 X+6 (3) lim (2x³ – 3x² +x) x3 - 2x2 +3x-5 (4) lim X2 3-x

A: Hello. Since your question has multiple parts, we will solve first three complete questions for you.…

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: x'- 16 • lim x2 X-2 x'- x- 5x - 2 • lim (x +1) Xー1 M + x - 1 • lim

A: Here, we need to find the limit of the given expressions. (i)            limx→ 2x4-16x-2=limx→…

Q: lim - 4 Evaluate x → 2 x + 2 V3x - 2

A:

Q: Lim x 0 (2x-1)1/2 -3/ x-5

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Q: lim 1_ x>5 x- 2

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Q: 4. lim (x-5x-2x-x + 100) ズ→ーの x+6x 5. lim X00 3x -5 25x2-8 6. lim ズ→の 4x-5

A: limx→∞ describes what happens when x  grows without bound in the positive direction and limx→-∞ is…

Q: lim 2f(x) = 8 x→3- lim f(x) = ∞ x→3+ f(3) = f(4) = 8

A: Given

Q: lim x-7 回团 lim x-7 2→6+ x-6 lim -7 x→6 x-6

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Q: lim 2 -V1-x find Value. 3 +x

A: We need to evaluate the following limit limx→02-1-x3+x

Q: lim x->1 x4-1/x-1

A:

Q: x3 + x2 – x – 1 The value of lim -is the same as x- -1 x3 - 3x-2 X- 1 lim A X+ -1 X-2 X- 2 lim B X+…

A: Using l hospitale rule

Q: lim x1/(1-x) x -> 1+

A: lim        x1/(1-x) x -> 1+

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: lim x->0 ((x3-x2)/(3x2+x))

A: Answer and explanation is given below

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Q: lim x->0 (x2 +x)

A: Given,          limx→0x2+x

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A:

Q: lim a. (2-4x*) x² -3 b. lim X→0+ x° +x²

A: Solution

Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

Q: lim x-infinity x2 + x -7/2x2-7

A:

Q: lim x²e-x

A: we have to calculate limit by using L'hospital rule

Q: Limit (x-> infinity) [(3-x2 )/(4+3x-x2)]

A: We have to find

Q: im                           =x/x-2 x-> 2^+

A: Given limit is as below:

Q: lim x->3 (x2 +9/x-3)

A: Given that, limx→3x2+9x-3

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A: First we need to find inflection point:

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Q: lim(-x² + x-2) x-2 x+5x+4 lim x+2 2 +7x +6 lim I+3

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Q: lim x - 9 Example 25. X →3 x² - - 5x + 6

A: