correspondig limit x' +x -8x-12 a) lím x* +4x' +5x + 4x +4

Q: Find the limit of limx->-1 (x3-2x2+5)

A: Since this is a polynomial function,we can calculate the limit by direct substitution. We have The…

Q: Determine the infinite limit. x + 2 lim x--3+ x + 3

A: We have to determine infinite limit: limx→-3+x+2x+3 We know that finiteinfinite=0finite0=infinite

Q: Find limit lim (Vn+1-n). No use Hostital Rule.

A: To find:limn→∞ n+13-n

Q: Use L 'Hopital 's Rule to evaluate the limit.

A:

Q: find the limit of  limx->-4 [(x2-2x-24)/(x+4)]

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Q: limit

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Q: find limit  lim 3x^2+2/9x^3-2x^2+7 x=infinity

A: Divide both numerator and denominator by x^2.And distribute the x^2 with each term.

Q: limに 1 x2-3x+2 X-1 x-1

A: We have to find

Q: 2. Evaluate the limit: TC 1000 lim x-7- (x-7)2 lim x→8+ (8 - x)3

A: the given limit is: limx→7-πx-72-limx→8+10008-x3 we have to evaluate the given limit.

Q: Find the limit if it exists: lim x->0       (sin(3x)) / (x(3x2 - 5))

A:

Q: find the limit.  lim(x-->2^-)    ln(-1/x-2)

A: Here we have to find the left hand limit at x = 2.

Q: Determine the Limit:  Limx->infinity (1/8)x

A: Consider the given problem:

Q: Estimate lim→-4 f (x). Estimate lim-→-2 f(x). Where is f(x) discontinuous?

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Using L'Hopital's Rule, we have to find the limit of f(1+ x) – f(1 – x) lim xf'(1) |

A: If the Direct substitution will results the answer in the form 00 or ∞∞ then we can use L'Hospital's…

Q: Transform the function lim x+5x² +3- x²) into an equivalent quotients to en apply L'hopital's rule.

A: Given that limx→∞x4+5x2+3−x2. Multiply x4+5x2+3+x2 by numerator and denominator both…

Q: Evaluate the limit |x – 4| lim x-4 x- 4 If the limit does not exist enter DNE. Limit =

A: →For existance of limit at any point,         Left hand limit(LHL) and right hand limit(RHL) at that…

Q: Find the limit of  limitx->0= x2+4,

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Q: lim (sec x)cotx X-

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Q: Find the limit. lim (5x + 4x + 3) X--3

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Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

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Q: Evaluate without use of Hopital's rule: tanx-sinx 1) lim-0

A: using expansion of trignometric function

Q: Calculate the limit limx→0sinaxsinbx.

A: We have to calculate as limx→0sin ax sin bx

Q: x² – r3 lim - 2x2 + 3

A:

Q: Extend L'Hopital's Rule to evaluate lim (x2 - x) x-+

A: See the attachment.

Q: Evaluate the limit lim sin (). x-4 lim sin-() = %3D x→4

A: Evaluate the limts

Q: Evaluate the limit |x lim x+6 x - 6 - 6| If the limit does not exist enter DNE. Limit =

A: Evaluate the limit

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: x2 - 6x + 8 lim x- 4

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Q: Lhopitals

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Q: 1a. Use L'Hopital's Rule to find the Limit: lim         (xsinx + x2 - 4x2)/x - 2pi x->2pi

A: Let's understand the L’Hospital’s Rule If where a is any real number, infinity or negative…

Q: 5. Calculate limit: lim x³+2x²-x-2 x-2 x3+x2-2x

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Q: Find the limit lim x---> infinity sqrt(x^2-1)/2x-1

A: Given function is limx→∞x2-12x-1

Q: Use L'Hopitals Rule to find the limit of: Lim as x->Pi/2 for (secx-tanx)

A:

Q: Evaluate the limit: lim --> 0 (ex+3x)1/x

A: It is an indetermined form of questions in case of limit. Which will be solve easily by below given…

Q: In VT lim x2

A: Solution and Explanation is given below....

Q: find the limit of lim x->3 sin(x-3)/x^2-x-6

A: To find limx→3sinx-3x2-x-6

Q: Evaluate the limit: Lim X--3 (2-√x² +100 x + 3

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Q: Find the limit.  lim x--> infinity  ln (3x2-1/x2+1)

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Q: Find the limit. x-x lim x→11- Vx х-х* lim x→11- Vx (Type an integer or a simplified fraction.)

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Q: find the limit limx -> 3 of [root(x+6) -x] / (x^3 - 3x^2)

A: To determine the limit of given function.

Q: lim x in (It -)

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Q: Prove that lim (4x² – 25) = -9. X→2

A: We will prove this by definition of limit as follows

Q: lim (1+ 2x)3/ x→0

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Q: limit as x approaches infinity of (-1)x+1

A: Apply the limit.

Q: Evaluate the limits with either L'Hopital's Rule or previously learned methods: x2-1 5. lim x-1 In x

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Q: Limit x approaches to minus infinity under root 5-x

A: Property used: limx→∞f(x)=limx→∞f(x) Some properties of ∞: ∞+a=∞∞b=∞∞=∞

Q: x²-q² lim

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Q: Prove lim x ---> 3    (1/3x+1) =2

A: It is known that if we have a function f(x), and limit x tends to a, then the function can be…

Q: Find the limit of indeterminate product using L'Hospital's Rule. lim e-* ln x

A: Ny using L'hospital's rule, we find the given limit.