Q 10 Show using the definition of limits lim+333x2 -13x - 8= 250

Q: Evaluate the limit 5 + 2x lim 2 3x -

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Q: Find the limit if it exists. lim V3- Vx+3 111

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Q: Evaluate the limit V5 +3r2 lim 5 6x

A: We find limit of given function

Q: Find the limits lim (V² + 3 + x) X -00

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Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

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Q: lim エ→0- ー|2

A: Given: limx→0-xx-x Here, x is negative when x→0-. Therefore, x=-x

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: Find the limits lim 1 as 2 – 4 а. х— 2+ b. х— 2 с. х— -2+ d. x→-2

A: Given, lim1x2-4 (a) x→2+→2+h, h→0 limh→01h2+4+4h-4 limh→01h(h+4)→∞ (b) x→2-→2-h limh→01h2+4-4h-4→∞

Q: Q3) Guess the value of the following limits: 2-3x+2 1. lim X-2 x-2 2. lim+2x=2-x-1 -0 -2x-1-2 3. lim…

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Q: Use l’Hôpital’s rule to find the limits

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Q: Find the limits 1 lim x→3+ X – 3

A: Given: limx→3+1x-3

Q: Find the limit: Vx – 14 lim x → 196 196 - Give an exact answer or keep at least three decimal…

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Q: Find the limits 4 lim x-7 (x – 7)2

A: To find: The limit of limx→74x-72. Concept used: limx→amn=limx→amlimx→an Calculation: The limit of…

Q: Use l'Hôpital's rule to find the limits x- 2 7. lim X2x - 4 x? - 25 8. lim -s x+ 5

A: l'Hospital rule is used when the value of the function is not defined by directly substituting the…

Q: Find the limit. 2 lim (2x - V4x - 3x + 2) O A. - 0 В. -2 С. О 3

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Q: Q3: (a) find the following limits if exist:- (1) limx-o √x+9-3 1-cosx xsinx (2) limx-07 (3) limx-1…

A: Topic = Limits

Q: Evaluate the limit: 2x + 16 – 4 lim 7x

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Q: find the limit or explain why it does not exist.

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

Q: Find the limits lim (Vr + 3x V – 2x) X 00

A: We have, limx→∞x2+3x-x2-2x The above limit problem is of ∞-∞ form.

Q: Find the limits in Exercise

A: Given, limx→-12x3-5x2+3x+5 function is continous so find limit of function at x=-1…

Q: lim (x² + 2)sechx X+0

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Q: 2) lim x’e-8r

A: Explanation of the answer is as follows

Q: Find the limits 2 lim x→0+ x/5

A: Given that limx→0+2x15. As x tends to 0, the denominator of the function 2x15 tends to 0.

Q: find the limit or explain why it does not exist

A: Given : limx→012+x - 12x

Q: lim r² = ∞ 1418

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Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx->9x+3x-9

Q: Evaluate the limit |x – 7| lim х—7 х — 7 -

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Q: Find the limit. 8 lim x→7 3x + 4

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Q: Evaluate the limit. 4x2-9 lim x→3/2 15-10x а. b. lim(x – 2) sec(n/x) | x-2

A: See the details solution in below

Q: Find the following limits: 2х — 6 - (а) lim x→3 x² – 9 -

A: Multiple questions-"As per our company guidelines we are suppose to answer only one question.Kindly…

Q: Exercise To Try 17 Find the limit 1- x – x2 lim 2x2 7

A: Dear student as per our rule we can only solve one question in one session. Please post the other…

Q: 1. Decide the limit: lim 2x + 3 x-3 2. Explanation

A: Solving the problem by finding the limit of the function.   NOTE :: As per our Expert guidelines we…

Q: (a) lim (3x + 5) = 2, I-1

A: a limx→-13x+5=2using ∈-S definitionWe need to prove that :Given any ∈, we can find S , so that…

Q: Next Evaluate the limit: 2x + 12 lim I+ -6 x2 36 -

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Q: Q1/ Find the following limits. 1. lim x*+3x-4 2. lim x*- 16 x-1 2 X+2

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Q: Compute the limit below. Justify your answer. V2x +15 -1 lim x+-7 X+7

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Q: Find the limit. lim x2 x--3 Need Help? Read It

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Q: Evaluate the limit. 4 lim + 2 (x + 3)? x → – 3

A: Consider the given limit, limx→-3-4x+32+2 now, apply the rule of the limit that is the limit of a…

Q: -lim ズ→4 (x2+16.

A: Given: limx→4x+4x2+16

Q: Find the limits

A: Let the given limit be y - y = limx→0 7+sec2xPutting x = 0, to find the limit - y = 7+sec20y = 7+12…

Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: Find the limit. 8x lim I+10 Vr + 6

A: We have to find the given limit please see the explanation below

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: Find the limit as a approaches 4 from the left. 3 lim x4 I - 4 -00

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Q: Use the –δ definition to prove that lim x→1 (3x + 5)/2 = 4.

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Q: Q2 (a) Using the definition, prove the following limits. i) lim(7x – 4) = 10 ii) lim x→2 x – 4 4x…

A: As per our guidelines we are supposed to answer only one question at a time. Please ask remaining…

Q: 2x +1 メ-4 lim 2. X-0

A: L'Hospital rule is applicable only when f(x)g(x) become of the form 00or ∞∞ For applying…

Q: Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

A: here option b is true

Q: he limits of the followi X-2 2. lim х->2 X — 8 x'-8

A: