lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and use this to compute V1+x2 lim (You may not use L'Hôpital's rule) 3r -4 -(-2) (3r -2).

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A: Solution:Givenlimx→∞ x-34x2+25To find the limit valueFormula:ab=ab

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A: First rationalize the numerator.

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Q: B. Find the limit. Зх — 1 5. lim х-1/3 9х2-1 x3 - 1 6. lim х+1 х-1

A: As per our guidelines we are supposed to answer only 3 subparts

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Q: Suppose neither limx→0 f(x) nor limx→0 g(x) exists. Show that limx→0 [f(x)g(x)] may exist.

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Q: 3. Use L'H rule to find lim (1– 2x)/=

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Q: Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01,…

A: Simplify f(x) first for x not equal to -3 x y -3.1 -6.1 -3.01 -6.01 -3.001 -6.001…

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A: 1. L=limx→3x2+4x-21x2-7x+12  =limx→3(x-3)(x+7)(x-3)(x-4)  =limx→3x+7x-4  =3+73-4L=-10 OR by using L'…

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Q: Q.5 (a) Find radius and height of right circular cylinder of largest volume that can be inscribed in…

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Q: Find the limit or determine that the limit does not exist limx→∞ (2-x)/(√4x2 + 13) 4x2 + 13 is all…

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Q: For solving a limit problem lim f (x)(*) which is in the form of indeterminate power, here are the…

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Q: Find the limit. y 6- 5- 4 3- 2 1- 3-2 -1 -1 1\2 3 4 5 -2t limz-0 f (x)

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Q: 6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Solution of the problem as follows

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Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

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A: Question is solved.

Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim

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Q: Find the limit or show that the limit does not exist. lim→-0 4x2 + 3x + 2x x→-∞

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Q: Use basic techniques to find the limits. 8. lim(-7) X-3 9. lim (x³ + 2x) X→-1 10. lim cos x

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Q: Estimate the limit numerically  limx→4 x^2−2x−8/x^2−3x−4=

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Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

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Q: If /6 – 5x2 sf(x)sV6-x² for - 1sxs1, find lim f(x). N6-5x² lim f(x) = X→0 (Type an exact answer,…

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Q: Find the limit, if it exists. 7x + 70 lim x-10 |x + 10|| Step 1 Recall that x+ 10 x2 -10 x < -10. |x…

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Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

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Q: 3-Vx2+9 Without using L'Hopital's rule, find: lim-

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Q: B) Without using L'Hopital's rule, find: lim 3-Vx2+9 x2

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