Xn+e x1 = 1; xn+1 8

Q: lim ("V52"-1 52n-1

A: F

Q: 3. Prove that lim sup (a, + b) ≤ lim sup a,, + lim sup b, and lim inf (an + b) ≥ lim inf a,, + lim…

A:

Q: Prove the limit statement using epsilon-delta 3x2 - 8x-3 x -3 2) lim x-3 = 10

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Q: Find the limit lim 4. -1x1 4+x

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Q: (4+h)2-16 lim h→0 Compute h

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Q: Q4\ find limit of the following x² - 2 1- lim Vx-2 X2

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Q: Find the limit HI6) im [In(2 t+x) - In(1+x)] www

A: We will find the limit.

Q: Find an example of the function such that the limit exists at every x, but has an infinite number of…

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Q: Q 4. (a). Show that limit *1, does not exist if (5-4x S(x)=. -)- {ax-2 for x <1] for xz1]

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Q: lim x18 2x6 - 3x +3 4x5 + 3x4 1

A:

Q: Let an 2n+4n-3 Using the definition of the limit, prove that lim,∞ an 3n2+2n+1* 2/3.

A: Given that, the rational function  an = 2n2+4n-33n2+2n+1 To prove that limit of function is limn→∞…

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

A:

Q: lim x* + 5x2 – 12x + 3 x→-2

A: Given function is: limx→-2x4+5x2-12x+3

Q: In(4x+3) lim 8x+7

A: Given: limx→∞ ln(4x+3)8x+7 The highest power of the denominator is 1 Divide each numerator and…

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: Find the limit

A:

Q: 1 lim x-2 1- x = −1

A: By using either the epsilon-delta definition of limit or the sequential criterionfor limits to…

Q: What is a finite limit.

A: Given data is: What is finite limit?