e-x²/2 lim x² – 5 x→00

Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

A:

Q: 3) lim (x² + y²)' 1.

A: Given: limx→0y→0x2+y2x

Q: 8. (x - 1) dx √x lim

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Q: ー2 a) lim X >6 (x-6)3 b) lim E) ゼ+t

A:

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9

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Q: 2-x 3. lim X-2 Vx-5

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Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: |1-x*| 5. lim X-o x(x+1) II

A: Here we solve limits.

Q: lim yn2 +n -n=0

A: Limit problem......

Q: 9. lim- x→0 3 - Vx+9

A: we use l hospital rule to evaluate the limit.

Q: 5. lim X-0 e2x-1

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Q: Evaluate the following limits.

A: Consider the given expression: limx→1xlnx+lnx-2x+2x2ln3x Check the form of indeterminacy:…

Q: 4. x- 1 lim x- Vx + 5-3

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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 +h)-f(x) h→0 >- f(x) = v5x + 1 when x %3D h 5

A: Given:  fx=5x+1x>-15 To Find:  limh→0 fx+h-fxh=?

Q: e7x + e-7x _ 2 lim x → 0 5 x2

A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: lim x In(2x) x→0+

A:

Q: 5. Evaluate lim sin(x)– (x² + 3x – e*). (x³ – 2x2 - 6 + 3x) 6. Evaluate lim X→2 х - 2

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Q: x²+x-2 1. lim X-o 4x-1

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Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: 2 lim (x + 1) - (х* + ) x → 0

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Q: 2. lim V2x+1-V3 ズ→1 ズー1 0.9 0.99 0.999 1.001 1.01 1.1 f(x) V2x +1-V3 : lim ズ→1 x-1

A:

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: Lim 1-Vx X-1 1-

A: We have to find given limit.  Concept:

Q: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

Q: 1-x c) lim- x1 1-Vx こ 11- sin x d) lim エー→0

A:

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: 2 lim キx°- キx - しx* -I 3 x メ→ o -\x3+ キメ - 12

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Q: lim,0 e2x _e-2x 'x→∞ e2x+e-2x

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Q: e – e-* lim I-0 x2 + 3T

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Q: 3x-7 lim zー8 Sx +1

A: limx→∞3x-75x+1

Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

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Q: (b) lim (r + 1) In x

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Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: (220_ 3.x)– (e20_3e) lim -3x is x-e

A:

Q: |x| lim e* +- + x2 X→0-

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Q: lim (2a +x) X-

A: We find the limit by substitution

Q: 399. [T] lim e(x - 1) x-1 x-1

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Q: c) lim x-+0 tan 3x 1- Jx e) lim x 1-x g) lim(\n² +1-n)

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

Q: x |x+1| e) lim X--1 x+1

A:

Q: lim-o f(x+h)-f(x) 1) Given f(x) = x2-3 find 5x+2x2+1 2) limx-ox3+3x

A: 1 We have to find limh→0fx+h-fxh for the given function fx=x2-3. 2 We have to find the limit…

Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: 1 lim x-0 X 1 ´dt x4 1 = ? 3x2

A:

Q: (p- [d) lim xn x→-0

A: In this question, the concept of limit is applied. Limit The limit formula is employed to calculate…

Q: h +2h (d) lim 3h -h' +5x+4 (e) lim x' +x-12 -3x +5x+4 lim 4x +x-12

A: