Evaluate lim I X - T

Q: Evaluate the lim x→0 X

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Q: 1) Evaluate lim 10 VX-5 X-25 x25

A: We can find the limit as below.

Q: Evaluate a* -b* lim - b* x→0 X

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Q: Evaluate e2x – 1 lim- X

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Q: Evaluate the limit. 2х — 2п lim x-n |x – 1|

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Q: +x Evaluate limx - x²In

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Q: 1 - Evaluate lim II +1

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Q: Evaluate lim x + Væ² - x" + 2x

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Q: - a) Evaluate lim x- - 2 3 + x x + 2 2.

A: First solve then apply limit

Q: Show that lim (1 + = e. lim

A: To prove:

Q: evaluate lim f(x)- I-5

A: Given: The graph is as follows

Q: 1 Evaluate lim,–| a + b* + ° 3

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Q: Find the one-sided limit

A: We need to find right hand limit, limx→0+6-1x3

Q: Show that lim n->∞ (1 + x/n)^ n = e^x for any x

A: Express (1+ x/n)^n using e in the base

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: Evaluate using substitution.

A: To evaluate: limx→4x-52 Solution: Given,limx→4x-52 The given limit is not in indeterminate form, so…

Q: 1 Evaluate lim (csc x)*- 2 X→- 2

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Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: Prove that lim5 (x2) = 25

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Q: Evaluate the follow lim In(x) =

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Q: Evaluate: Lim

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Q: (a) Evaluate lim, »∞ 3z+21 e 16

A: Given,          limx→∞3x2+2xex+6

Q: 2 - Vx2 – 5 2- Evaluate lim x-3 x + 3

A: We find limit

Q: In x 6. lim, x

A: Solution:

Q: 1. Evaluate lim f(x) if f(x) = {, if xs-1 &² - 2 if x>-1

A: Given function fx=1x,   if x≤-1x2-2 ,     if x>-1 We have to find  limx→0 fx=?

Q: Evaluate the limit: 4(22 - 1) 3x (x – 1) lim |

A: Given : limx->4 4(x2-1)/3x2(x-1)3

Q: Using the tabular approach, evaluate lim X-1+ Inx

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Q: 1+ x Evaluate lim x x2 In -

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Q: (b) Evaluate the following- (i) Lim (ii) Lim -Wi

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

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: (3+x)² – 9 - Compute lim

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Q: b. Evaluate lim X0 ex

A: Given limit is : limx→0xex  To find the value of the limit.

Q: Evaluate this limit: lim x1/x

A: Given- limx→0+x1x To find- The value of the limit. Concept used- If any function limx→0fxgx is the…

Q: 8. Find lim x² In x x→0+

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Q: Evaluate lim +

A: Consider the given limit limn→∞1n 1n9+ 2n9+ 3n9+⋯+ nn9

Q: Evaluate lim (e – 2x) -

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Q: Evaluate lim where k>0 X-k

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Q: Use ɛ - 8 def inition to prove lim x 8. %3D X2

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Q: 1 Evaluate lim (csc x)*-

A: We have to solve

Q: Evaluate lim (2 – x)an x-1

A: Given that a limit problem we solve it by using L'hospital rule . Here i attached solution of this…

Q: -1 Evaluate lim II +1

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Q: Evaluate lim (x² + e²=)/=

A: The expression for the function is

Q: ® lim inf of snaG)"(-+;) is ?

A: