Vx +1-1 2. lim

Q: Calculate limit of (square root of x^3-1)-x^2 as x approach to positive infinity. Thank you!

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Q: evaluate the Ilimits 3. X+2x 2. lim メー→○ X42x

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

A: Given          limx→-8-5x+40

Q: b. Find lim (xv (xVx²+1-x²)

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Q: lim(1 + 3x)²/x x→0

A: Concept if limx→0f(x) = 1    and limx→∞g(x) = ∞ then the limx→0f(x)g(x)  = elimx→0[f(x) -1][g(x)]…

Q: Calculate limx→∞(√x2+1−√x2−1).

A: The limit of any function at any point x=a is the value which the function has tendency to acquire…

Q: use L'HOSpital's rule ro show that lim 2tanx イ→ % rc 2x

A: We have to proof

Q: 2. lim x = 25 ニ

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Q: 3.) lim r/z2

A: let t=x1x2ln(t)=1x2ln(x)t=e1x2ln(x)in the question it is asked to find the limit of t when x tends…

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

Q: The value of lim (xe- x) will be ...

A: It is given that limx→∞xe-1-x.

Q: Find the limits in Exercise

A: Let the given limit be y - y = limx→-∞ x2+3 + xRationlising the equation with it's conjugate - y =…

Q: lue of lim X→-4 2x+8 x²+2x-8* Remember to fully justify your.

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Q: 5. lim (Vx2 +x + 1 -

A: We have limx→∞x2+x+1 -x

Q: evaluate   lim       squareroot(2(x+h)2-3(x+h)-4   -  squareroot(2x2-3x-4)…

A: To determine the given limit . Note that it is the derivative of the function (2x^2-3x-4)^0.5. It is…

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: 5- V4 +3x (3) lim ズ→7 7- x

A: The given function is limx→75-4+3x7-x

Q: explain why the limits do not exist

A: The given limit limx→0xx exist only if limx→0-xx=limx→0+xx The limit limx→0-xx can be evaluated as,…

Q: x² – r3 lim - 2x2 + 3

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Q: Vx +9 lim - 3 x2

A: Given rational function is fx=x2+9-3x2

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: Explain why lim(3x² + &x) can be evaluated by substituting x = 2.

A: Let f(x) is any function and if f(x) has no holes or asymptotes then limx→af(x)=f(a)

Q: Evaluate using substitution.

A: To find limx→2x3+4x Substitute x = 2 in x3+4x                    limx→2x3+4x=23+4(2)…

Q: 32x4-5x+11 lim x-∞0 4x3-12x4

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Q: a- Find the limits of the functions below: 7x3 - limx→0 3-3x²-6x x+2 limx--2 Vx²+5-3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Lim 2x3 In x

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Q: Vx² +9 – 3 lim 2

A: Given  limx→0x2+9-3x =limx→0 x2+9-3x2+9+3xx2+9+3         multiplying x2+9+3 on numerator and…

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

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Q: lim (x – 4)

A: Given:           limx→41x-12x-4 Simplify: 1x-12 Cross multiply:               =2-x2x Simplify: x-4…

Q: lim V4x + 8 X--2*

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Q: 7x2 lim Does not exist

A: To Determine: find the limit  Given: we have limx→07x2x2 Explanation: we have limit limx→07x2x2 let…

Q: x³ - 125 lim x-5 x - 5

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Q: Determine lim,-∞ *) . x+1 x+7x (주 00 1 -00. - T-

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Q: |2x – 4 lim x→2- 2 — х

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Q: lim t→∞ - 4t9 t² - 9t + 5

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Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: lim (x2 + 2)sechx

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Q: lim (x -Vx?+16

A: To evaluate: limx→∞x-x2+16 which is (∞-∞) form. So,  converting the above limit into ∞∞ form.

Q: 6. Find lim Vx -4 Vx - x>16 x– 16

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Q: lim メ→ーネ x³+8 L' Hospital rule

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Q: Lim 4x+2

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Q: Vx-2, limx→4 X-4

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Q: X-SINX 2. lim X0

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

Q: X4 lim x ->0

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Q: lim (Vx2 + 4x + x)

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Q: Lim √2+x² X

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Q: 3 – Vr +7 it lim х — 2

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Q: Lim x-0 et - 10t X

A: