lim x+0 V1 + 3x – 1

Q: lim x11-x) x-1t

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Q: lim          e((x+4)/(x+2)) x->2-

A: Insert the value of given limit. The result is a finite number.

Q: lim (2 – x)' x→1 2

A: follow next step

Q: lim (Vx² +1 – (x+ 1))

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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…

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: lim x→0 5x² + 3x² + 1 X =

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Q: lim (3x + 1 x2 3 +00 indeterminate

A: Proceed as shown below

Q: lim d. x → 2 Vx²-4x+4 lim 4-V21-x C. x → 5 х-2 x-5

A: Given that: c. limx→54-21-xx-5d. limx→2x2-4x+4x-2

Q: Lim メー→& 5X 2X+XSin3 X -2X++

A:

Q: x-1 (i) lim X→1 vx+3 -2

A: we have to find the limit  (1) limx→1x-1x+3-2

Q: lim 7-4x-x4 2(x-2) lim 2x+1 人Y8 lim (Jx4-2x)

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Q: lim (2 - Vx +2)

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Q: lim f(x) = %3D x-8-

A: We can clearly see from the graph that, f(x) is discontinous at  x = -8  But, if we move slightly…

Q: 2 - x lim x-2 Vx + 2 - 2

A: we have to evaluate the following limit . For this we can use rationalisation

Q: lim x+0 v25 + 8x – 5

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Q: lim 1 4 X + 2* x-2 In(2x-3)

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Q: lim V1 + x2

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Q: lim (x²+2) sech(x) X → 00

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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: Find the limit

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Q: calculate the limit

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Q: lim 3-V5+x 24 X-4

A: This is one of the simplest topics of algebra i.e. limits and this question can be done with just…

Q: x-2 6. lim x-2-2-V4x-x²

A: To find:  limx→2- x-22-4x-x2

Q: lim (2e3x+5)

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Q: ) lim (Vx+3 +Vx) 14

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Q: Lim 1-Vx X-1 1-

A: We have to find given limit.  Concept:

Q: V1-x3 16. lim х+1+ V1-x2

A: limx→1+1-x31-x2

Q: lim 1 2/x2 x→0 3

A: It is in the form of 1^infinity. So i have used the rule for that particular case

Q: Find the limits

A: Given: limx→∞x+9-x+4.   In order to solve the given limit problem first try applying the limits…

Q: lim (x – Vx² + x)

A: Solution-

Q: Vx-3 • lim %3D X→9 x-9

A: Given : limx→9x-3x-9

Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37

A:

Q: Calculate the limit.

A: we have to evaluate the given limit limx→∞(2x-x+2)

Q: Evaluate each limit.

A: We have to find the limit

Q: lim X→0 xsinx 1 1

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Q: X2 4 3) lim メーや2 3-Jx2ょ5 it

A: We will find the solution of this problem.  Here,  we will use L.HOSPITAL. RULE.

Q: Vx-2 4. Lim x→2 Vx2-4

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Q: lim X+0 2-√ 4-X² x ²

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

Q: V6-x-2) 1. Find lim 『→2 v3-xー1

A: According to our guidelines we can solve only the first question. Please repost the other questions…

Q: lim Væ+2-/2

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Q: lim 2x² (x+1) a. b. lim 3(2x+1)* 2'-2r+5x-1 c. lim 2x-3x+1

A: In this question, we find the limit at negative infinity for each of the given functions.

Q: lim v2x3 – 3x² + x + 2 1 X→- 2

A: Given limx→122x3-3x2+x+2

Q: lim f (x) %3D X-2

A: Given that : Graph of the function :

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: x-2 Evaluate: lim Vx-1 - 1 X-2

A: Givrn limit, limx→2x-2x-1-1 is in 00 indeterminate form

Q: (x-a) 2. lim x→a Vx-³Va

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Q: lim x → ∞0 5x²-x + 1 2x² + 5x - 4

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Q: Vx -2 25. а. lim х — 4 x→4 x-9 b. lim Vx-3 |

A: