4 -4 -3 -2 -1 -ナ 1 2 3

Q: 4. Determine the following limit. (1-1)

A:

Q: Reduce the expression and then evaluate the limit: 22 e2x - 22 lim ex - 1

A: Given that: limx→022e2x-22ex-1

Q: Evaluate the following limits: 5/(e^x)+7 as x approaches infinity 5/(e^x)+7 as x approaches negative…

A: Given:

Q: Evaluate the following limit

A:

Q: the

A:

Q: Use the limit definition of the deriviative to find f'(x) if f (x) = 3x2 – 2x + 4

A:

Q: -5 3 12 3

A:

Q: Evaluate the following limit: im - (4+) n(4+)2 k-1)\3/2

A:

Q: Use the limit defination to show that if g(n) = O(f(n)) and f(n)=o(h(n)) then g(n)= o(h(n)). O- big…

A: By definition,

Q: Compute f'(x) using the limit definition if f(x)=(13x)-1/2 +13

A: The function is given by,

Q: Prove the limit statements Sx², X = -2 **-2 lim f(x) = 4 if f(x) I-2

A: Given, fx=x2x≠-21x=2 To prove: limx→-2f(x)=4

Q: If x > 8 and x n+1 - - for nEN. Then the limit of x is equal to 11 X 21

A: Given that, If x1>8 and xn+1=2-1xn for n∈ℕ. The objective is to find the limit of xn.

Q: Evaluate the following limit: 2x2 – 3x + 5 lim x→+∞ 5x² – x + 12 - - 12 o 3 25

A:

Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

Q: Compute the following limits if they exist ৪+ i2 Lim 2→-2i Lim Re 2

A:

Q: 14. Determine the "limit of 5 as x approaches to 2". a. 4 b. 3 c. 2 d. 1

A:

Q: Suppose c is a real number, which of the following limits ALWAYS exist?

A:

Q: Xチ 3/19 1-( x+1) メ→。

A:

Q: (x+7)(x-5) X-7

A:

Q: 34. 1 Im (x+h) T 7. x2

A: limh→01x+h2-1x2h We need to evaluate the given limit.

Q: xii) -e -2L

A: We have to evaluate limx→0ex-e-x-2xx-sinx

Q: Evaluate the following limits algebraically

A: Given that: e)  The limit is limx→-0 x+3 -3x .

Q: 15 + 3 — т7 3. lim 4л2 + 2л — 9

A: We have to find the value of limit

Q: Evaluate the following limits 2x -1-2x im - cosx

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

Q: Find the following limit if it exists. 3 -5-4-3-2-1 1 1 23 4 5 -2 -3 -4 -5 n + M N

A:

Q: Evaluate the following limit:

A:

Q: The limit is equal to 1312 Select one: O True O False lim n→∞ 3n 2n³ + 1

A:

Q: Find the limit given by 1 + n + 2 1 lim n + 1 2n n→∞

A: The limit of the function at a point is equal to the value of the function when the value of the…

Q: Calculate ?′(7) using the limit definition if ?(?) = ?^2 + 3? − 4.

A:

Q: The limit lim (x,y)→(4,-5) exists and equals to Select one: O True O False 25x²-16y² -5x-4y -40

A: Given the limit is  limx, y→4,-5 25x2-16y2-5x-4y.

Q: ind the following limits if they 3. 2. 4x+1 lim x-o x-7 x +2x+x+27 8x 8. lim エー→+ 5.x-7 lim メー→+の 2.…

A: The given limits are: limx→+∞8x5x-7, limx→-∞4x+1x2-7 and limx→+∞x3+2x2+x+27x2-4

Q: 00 *tan(1/r)=? O a. 2 O b. 00 O c. Limit does not exists

A: You know:

Q: what is the limit of (t^2-64)/(-t^2+10t-16) as t approaches 8?

A: Given query is to find the limit of the expression.

Q: Calculate the limit algebraically. 12h2 lim O-12 00 12 13 O 12

A: Take h common from numerator and denominator.

Q: Find the limit as a→5 for ((1/a)−(1/5)/ (a−5))

A:

Q: Evaluate the absolute value of the following limit 6+h – h? lim h-3 V5h – 6 – Vh + 6

A:

Q: show that the limit of a^n/n! is 0 as n approaches infinity

A: Gien To find limn→∞ ann!

Q: State the limit definition and use it to find f’(x) given fx= 5x^2+3x-2

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Q: Use a calculator to estimate the limit. 1im X5e

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) im (x + Ax)-5(x + Ax) + 8 - (x - 5x + 8)…

A:

Q: If x > 8 and x #+1 = 2 - for nEN. Then the limit of x is equal to 11 X 11

A: Introduction: A collection in arithmetic is an enumerated series of gadgets wherein repetitions are…

Q: the the limit definition od the . AP fo 200oap dyp pu derivetive

A:

Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

A:

Q: Evaluate the following limit.

A:

Q: Evaluate the following Limits: Um +2sinz-e-4x

A: Here firstly we put the value of x =0 in equation ,             and then we  get it is 00 form for…

Q: 2(coshx-1) エ450)て lum

A: To find the limit of the following:                     limx→02cosh x-1x21/x2 We know that, cosh…

Q: What is the limit of f(x) = 7 as x approaches ? (If an answer

A:

Q: compute the limits to graph the functionP(x) =x^2−6x^1/3 on the interval [0,4]. Note that P(4) =…

A: