INSTRUCTION/S: Evaluate each limit by two methods. TOPIC: INDETERMINATE FORMS FIRST METHOD (Partial Fractions or Factoring) SECOND METHOD (Theorem 23) 3x4-x+1 1. lim - x--2 2x4+x3-6

Q: 2. lim (x-7x²-3)

A: We have to find  y= lim   f(x) = lim  (x3 -7x5 -3)      x-> -♾️      x-> -♾️ Indeterminate…

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

A:

Q: 7. (2x - 1)5 lim x → +∞ (3x² + 2x - 7)(x³ - 9x)

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Q: limx>inf(7-3x2)/(2x3+x2-9)

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Q: xV1-3x lim | V1-4x3 I-00 %3D

A: Suppose L is limit value of given Limt

Q: Calculate lim X10 3x²-x-2 5x² + 4x + 1

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Q: (4+3x2 1. lim x-00 \3-4x2. А. -3/4 В. 3/4 С. -4/3 D. 4/3

A: Given query is to find indicated limit.

Q: What is lim 2 (x - 2)

A: Given

Q: -x2 + 5x + 14 Evaluate lim x-2 -5x2- 2x + 16 Submit an exact answer.

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Q: lim V3n + 7"

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Q: 7- 6x5 19. lim X+0 x + 3

A: Our Aim is to evaluate the limit given below:-limx→+∞ 7-6x5x+3 -(i)

Q: 8) lim- x+1 2x²+2x+1

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Q: 8x2 + 7x!/3 lim X -00 /16x4 +6

A: To evaluate the below limit

Q: solvce the polynomial inequality, show a sign analysis of your work and state your answr using…

A: To solve the inequality x3-8x2+20x<16

Q: How to find  lim 4-x/x+3 while its approaching 3 from the left side.

A: we have to find limit value as x approaches to 3 from left side.

Q: Determine the lim 2x - 2x2 - O-2 The limit does not exist

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Q: Determine |7x + 42|| lim x + 6 x - -6 + |7x + 42 | lim x + 6 X- -6 -

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Q: x2 - 7x + 12 Explain why lim xS3 lim 1x xS3 42 and then evaluate х - 3 x2 - 7x + 12 lim xS3 х — 3

A: The given limit is:   limx→3x2-7x+12x-3 To show that, limx→3x2-7x+12x-3=limx→3x-4, factorize the…

Q: 4x2-x- V9x2 –x lim

A: Given: limx→∞4x2-x-9x2-xx

Q: Question 2x ¹x03x²-4 lim,

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Q: 4 - 3x3 lim x-00 Vx + 9

A: *concept:- take x^3 common from both numerator and denominator. it get cancelled out.