✓ 5) a) lim X-1 Hopital's rule 2 x²-7x +6 x2 - 5x-6 - b) lim ex- e - 2x X-0 2 x² Find the limit. IF L'Hopitan's rule doesn't apply, explain L

Q: What is the value of lim (1+ 4 )": п 4n O-1+i V2 O 1+i V2 O -1-i V2 1-i V2

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Q: 71/x Evaluate Lim (1+ x)!/x e

A: Given:

Q: Find the limit

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Q: The limit that can be used to evaluate S(x- 3) dx is, if f(x) = x - 3: k(S-2) O lim, E (2+ 2) ().…

A: Given, ∫25(x-3) dx ⇒f(x) = x-3 To find: Accurate area by using limit. Solution. Divide the interval…

Q: Use analytic methods fo evaluate thé limit, lim 3x3-X²+1t x-700 Sx3t2

A:

Q: 4-4e* lim xex Find: х-0 хех

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Q: Prove lim x³ X→3 = 27 using the 8, & definition of limits.

A: The δ-ϵ  definition of limits:      By the definition, limx→c f(x) = k if for any ϵ > 0, there…

Q: (a) lim (ln(5x³ + 4) — ln(x³ + x + 7)) x→∞

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: b)lim X118 5x3+x2 3- 15x2

A: Given limit, limx→ -∞ 5x3+x2-23-1.5x2

Q: Use L'Hopital's Rule need help with steps to solve.

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Q: -|x|, h(x)=20-x², 4x-1, A) lim h(x) = x-5+ B) lim_h(x) = X115 C) h(3) = x≤-5 -5 3

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Q: lim X→ 4x-3 lim x²+12x+27 ) lim x→-3 x+3 2x²-7x+5

A: (a)  given limit is :-limx→3412x2+11x-154x-3      00 form  since we know thaT  if…

Q: Evaluate and state limit laws used

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Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

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Q: lim x-0+ \x 1 = lim x2, 1 lim x0+ x2 1 = +0 - (+0) = 0 - - - -- %3D x-0+ x

A: It is infinity minus infinity type of indeterminate form.    To solve it first convert it into 0/0…

Q: What are the limits of both parts of this question?

A: In part a, there is no bound, so the answer of the limit is infinity.

Q: date let fcx7= X-3x+2, find al lim fux) X-72 bllim fux) c) lim fox) (1) X-72

A:

Q: Show that lim 1-1 x²-x+1 x+1 1 using the - definition.

A: Given,One has to prove the above expression using  definition.

Q: Differentiate the function F. Use the form f(x+h)-f(x) h lim h→0 => f(x) = 5x² + x +7 t'(x) =

A: Since multiple questions have been asked, doing the first one as per the guidelines. Given : The…

Q: ل بريال

A: From the graph of given function

Q: 1. lim x²-1 al 2. Tく-X b) lim X-Sin 2x +3 c) lim Vey?-x

A: Given- limx→1x2-1x10-1

Q: 3b b-2√4b+1-1 a) lim b) lim x-0 x²+16-4 x²

A: given limit

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: Find the limits

A: Step 1: Given, find the limit for: limx→2​(x2−4x2−x−2​)Let's factorize both numerator and…

Q: Find all vertical asymptotes of the given function. x-2 x3 - 4x A) x = 0, x= -2, x = 2 4) f(x) Find…

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