Зx2 +2х-5 1. lim x-1 х-1

Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

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Q: Find lim(y→2) (y^2 − 3y + 1)

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Q: 10х?-3х+1 a) lim x→00 7x2+3x-3

A: Given: limx→∞10x2-3x+17x2+3x-3 For evaluating given limit, we take x2 common then simplify it

Q: (a) 5x-3 - 4. (i) Lim x-0 2x-2 +9 (х — 3)2 (ii) Lim X-00 x2 — 2х-3

A: To find the limits

Q: Find lim tan -2 16r-32

A: We have to evaluate the limit function: limx→2x2-416x-32π After putting the value of limit we get…

Q: 2-JA+3 「メャ 2) Lm x2x-3 3) Lim (X+4)-16

A: →When limit is of the form 00 or ∞∞ , then L' Hospital rule is used. In L'Hospital rule,     take…

Q: 2z 4z +9 Find lim, oo 00 3z2 8

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Q: lim V 5x + 40 X--8-

A: Given          limx→-8-5x+40

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: Find the limit.

A: Explanation: Given that,  limx→4x-3-1x-4

Q: -y² \2 Find lim(æ,9)–(0,0) ( )- 2

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: x? — х - 2 lim х->-1 x? + 3x + 2 X→-1

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Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: Use the graph in Figure to find each of the following:

A: Limit L of a function at x=a is the value that a function approaches from both the left hand side…

Q: Evaluate: Express your answer in three decimal places. limx→8 √√x-2

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Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

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Q: Evaluate: " 3x3-3х2-18х lim xsinx+2 sinx

A: Value=?

Q: limx-->3 x2−x−6/x-3

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Q: +1 limx0 t2+1

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Q: 3 x° + y lim (х,у)>(1,-1) х +у

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Q: et* -1-4x 4х b. lim x-

A: The indeterminate form of limits is an expression that cannot be determined after the substitution…

Q: VZx-V6-2 lim 4-

A: We’ll answer the 4th question since we answer only one question at a time. Please submit a new…

Q: x+5 -lim x-5 r²+25,

A: Given limit, limx→5x+5x2+25

Q: 10x2 + 11xy + lim --1,10) 10х2 — 39ху -

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Q: V2x+22-4 limx---3 x+3

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Q: 5x?-4х 4. lim- x+0 2x2+3 5. limVx6 + 5х3 — х3 3 2+3x-5x2 6. lim 1+8x2

A: This question is related to limit.solved in step 2.

Q: lim V4x + 8 X--2*

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Q: Find Lim 5e*²-2x

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Q: 1-x 6. lim X-3 X+3

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Q: lim ex-e-7X

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Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

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Q: x2 + 15x + 54 - lim x--6 x² + 36

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Q: Determine the value of 6>0 for which lim (3x -1)=47 X4 A 6 = max{-4-16 -, -4+, 16 + | 3 6 =…

A: Given: limx→43x2-1=47 and δ>0

Q: x-3x-2 limx--1 х+1 ||

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Q: )-() lim 2z- 1422–1|

A: We have to solve

Q: a) lim, 2x-I- 3 222 | -1 312 + 5z + 2 7x +10 b) lim,5 7?-10z + 25

A: We have to find the limit of function.

Q: b) 49-(5+ x)² x-2 lim-

A: Use L.Hospital rule to evaluate above limit as in next step.

Q: Evaluate lim (3x . x+y) (х.у)-(4,5)

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Q: X-SINX 2. lim X0

A: Given: To solve asnwer number 22. limX→0 X-SINXX3

Q: ruente x2-2 Зх-7 x+1 lim 3x-5 ||

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Q: b) lim x²-25 X-4 X+5

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Q: x2-3x-2 limx--1 х+1

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Q: (V16x* + 7x – 4x²) = - 4²) = lim x+00

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Q: ■ Find the limit.

A: We have to find the limit: limx→-3+x+2x+3 Since x→a+ denotes the right hand limit of the function.…

Q: x? — х lim х-1 x2 + 9х — 10 (-5+ h)? – 25 lim h→0 h

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Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -> -4 ^ - and  F(-4)

A: The given piecewise function is,