Evaluate the following limits: 5x2 – 28x + 15 (a) lim 5 x2 – 7x + 10 Va + 62 – 8 (b) lim x - 2

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

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Q: Evaluate the limit x2 + 20x + 100 lim I→ – 10 x + 10

A: Solution:-      Step:I      Evaluate the limit.       limx→-10          x2+20x+100x+10

Q: Find the limit. lim (V-5x + 19 + 7) X-2

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Q: Determine the following limits.

A: Consider a function fx. Then, the limit of a function at x=a is given by: limx→a fx=fa

Q: Evaluate the limit x2 + 13x + 36 lim I +9

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Q: Evaluate the limit algebraically. 6x²-3x + 3 x-7 lim I →→2

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Q: Evaluate the limit 10x + 8 lim 7x2 – 7x + 8

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Q: Evaluate the following Limit: 4x2 lim x-0V16+2x2-4 A- 10 B- 12 C- 0 D- 16

A: Please see the solution below

Q: Evaluate the limit. Vx2 lim x² + 3 3x2 + 1 x- 00

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Q: Evaluate the limit 10x + 8 lim 7x2 7x + 8

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Q: find the limit or explain why it does not exist. x2/3 lim x64 16 Vx - 8

A: Our Aim is to find the limit of the expression given below:-limx→64 x2/3 -16x -8-(i)

Q: Use your analytical skills to evaluate the limits. 2x2 + 3x – 9 lim x3. x2 +x - 6 - 2x2 + 3x 9 lim x…

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Q: Evaluate the limit 4x + 11 lim 5x2 – 3x + 9

A: I am attaching image so that you understand each and every step.

Q: r+ 2 Calculate the limit lim 1-2 x2 – 3x – 10°

A: By using L'hopital's rule, we find the limit of the function.

Q: Find the limit: lim Vx -4 x- 16 x - 16

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: x² + x lim * + 2x + x³

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Q: Evaluate the limit: 6x 12 lim I> 2 r2 + 3x 10

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Q: Evaluate the limit. 2x5–16x² lim→2 2.2+ a³

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Q: Find the limits in Exercise

A: Find the limits x→-∞lim(2x+(4x2+3x-2))

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

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Q: Find the following limits : 2x-2 - 3x-3 2) lim x0 x-4 + 4x-2

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Q: Find the following limits: 3x2 + 8 (a) lim -4x² + 5

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Q: Find the limit. lim              x2+5/5x3-2 x→+∞

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Q: Evaluate the limit. 9 lim x → 0 8x4

A: The given limit is, limx→∞98x4. Obtain the value of the limit.…

Q: Calculate the limit algebraically: x³ + 8 lim x→-2 x² + 7x + 10

A: Consider the given expression, If we substitute  in the expression we get  form. so, use L-hospital…

Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

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Q: Find the following limits: Vx²+21-5 1- lim x-2 x-2

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Q: Evaluate the limit 7x3 – 2x2 – 2x lim 2 — 4х — За3 x → 00

A: limx→∞7x3-2x2-2x2-4x-3x3 ⇒ limx→∞7-21x-21x221x3-41x2-3 (divide numerator and denominator by x3)

Q: Find the limits 3x lim x→-5 2x + 10

A: Our Aim is to find the limit of the expression given below:-limx→-5- 3x2x+10-(i)

Q: Find the limit. - V1+x? lim 3x2

A: This is a problem related to limit of the function. Based on using L'Hospital rule we will evaluate…

Q: Find the limit. 9x6 - X lim x 00 x34 3

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Q: Find the limit. 8 lim x→7 3x + 4

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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: Evaluate the limit. 6x2 – 8 lim x → - 0

A: Given, limx→-∞ 6x2-8   We have to evaluate the limit.

Q: 4x + 12 lim 2 x 3 x²9

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Q: Reduce the expression and then evaluate the limit. x² - 36 lim x→6 x³ – 216 -

A: You will use use these formulae to reduce the expression:

Q: x² + 9 – 3 lim x²

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Q: Find the limit, if it exists. If the limit does not exist, explain why. 2x + 12 42. lim |x + 6| x→-6

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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: Evaluate the limit. 1. lim X0+ 2x4 x+2 2. lim x+5 3. lim X-2+ x-2

A: We can solve the problem by just evaluating the limit.

Q: Determine the following limits. 3x2 + 3x lim xS-0 x + 1

A: the given limit is: limx→-∞3x2+3xx+1 we have to evaluate the given limit.

Q: 7. Find the limit of 9x6 – x lim x³ + 1 .3

A: Given: L=limx→∞9x6-xx3+1

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

A: Consider the given limit function.

Q: Find the following limits. x²+3x-4 x -16 1. lim 2. lim X-1 X-1 x+2

A: Apply the limit to the given expression and if it results in 0/0 form then take the derivative of…

Q: Evaluate the limit. 8x+32 lim x2+5x+4 x-4 8 8. 3.

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Q: Evaluate the limit 4x2 5x + 5 lim x → - 2 x – 7

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Q: 16x²+13x – 7 is The value of the limit lim 11x -5

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Q: Evaluate the limit. 1. lim (2x3 - 3x2 +x- 1) X-1

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Q: Evaluate the limit. 2x2 + x lim 7х + 6

A: Given: The given limit is limx→∞2x2+x7x+6. Divide the numerator and denominator with x…