x2 - 4x- 21 lim X-7 X-7 x² - 4x-21 lim (Type an integer or a simplified frac- %3D x- 7 X-7

Q: x-5 lim - x-5x2 - 25

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: 2x- 14 | lim 7- x |2x – 14| lim %3D 7 - x x7+

A:

Q: x² -9 lim- x+3 x* - 4x +3 x→3

A: if the function is of 00 or ∞∞ form then we apply L.Hospital rulelimx→af(x)g(x) = limx→af'(x)g'(x)…

Q: (Vx-5 1. lim () x25 \x-25, x3+3x2+10x+104 2. lim X4 x2-12

A: Given: 1.  limx→25x-5x-252.  limx→4x3+3x2+10x+104x2-12

Q: 2x³-5x² 2. lim X→1- x2-1

A: To evaluate: The limit of limx→1-2x3-5x2x2-1. Calculation: The limit of limx→1-2x3-5x2x2-1 can be…

Q: x² – 10x – 25 lim x-5 x2 – 4x – 5 -

A:

Q: x3-1 lim x→1 4x3-x-3

A: To evaluate the limit: limx→1x3-14x3-x-3. Solution: When we evaluate the limit then we find that it…

Q: 2х x-1 lim X-3 6- 2х

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

Q: X-16 3. lim X16 Vx -4

A: 3)  limx→16x-16x-4

Q: 8x3 - 6х - 5 (e) lim X→1 5x2 - 7 - 6x - 2x3

A: The given expression is: Calculate the value of the expression.

Q: x3-7x2+10x 1. lim x2+x-6

A:

Q: Find the one-sided limit

A: Given: Find the one-sided limit limx→-3- x+3x2+x-6

Q: x2-3x 5) lim X-3 x2-9

A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the…

Q: Lim x->4 (x2-3x-4)/ (x-4)

A:

Q: (x-2)(x+4) lim 1 X→一 xー 2x-1

A: Evalute the limit  lim(x tans to 1/2) {(x-2)(x+4)}/(2x-1). Here i attached solution of this…

Q: x-4 1) lim x→4 xーxー12 x2-x-12

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x-2 6. lim x-2-2-V4x-x²

A: To find:  limx→2- x-22-4x-x2

Q: (a) lim x² - x + 6 X2 x 2 x² + 2x - 3 x² (b) lim x - 6 x 3 x² - 2x - 3 x - 4 (c) lim x+4√√√x-2

A: a.limx→2x2-x+6x2+2x-3=4-2+64+4-3=85b.limx→3x2-x-6x2-2x-3limx→3x-3x+2x-3x+1limx→3x+2x+1=54

Q: 10 a. lim -3-2 2x+1 b. lim 2 x-3

A:

Q: lim x2 - 2x -15 / x2 -25 x->5

A: The given limits: limx→5x2-2x-15x2-25 Putting the limits, we have:…

Q: x² +5x lim х2-25 x→-5 x2-25

A: If we directly put the limit x tends to - 5 then denominator tends to 0. So given function is…

Q: x|2x-4| lim x2+2x-3

A: Given query is to find the indicated limit.

Q: x³ – x² – 5x – 3 lim x→-1 >-1 2x³ +3x² – 1

A: We havelimx→−1x3−x2−5x−32x3+3x2−1Factor the denomiantor and numerator x3−x2−5x−3=0Put…

Q: x - 6x +5 8. lim X5 x- 5 (-5+h)' - 25 10. lim h-0

A: Given: To Find: Value of limit

Q: x² + x – 6 lim - x→-3 x² – 9 -

A:

Q: x² 4x + 5 lim 3x а. x+5 lim b. x+7 x² - 49 x - 7 lim С. x² - 3x + 2 2 - 4

A:

Q: Vx-3 • lim %3D X→9 x-9

A: Given : limx→9x-3x-9

Q: x³ – x² – 7x + 3 lim x-3 x3 – 8x – 3

A: L'Hospital's rule provides a technique to evaluate limits of indeterminate forms, such as 00, ∞∞,…

Q: x - 4x-12 a. lim X--2 x+2 V16-x-4 b. lim X-0

A:

Q: x-3 lim x-2 x2-4

A: Given that, the function is f(x) = x-3x2-4 To find the limit at x = 2

Q: x2-4x+3 lim x→3 x2-5x+6

A:

Q: x3+7x2-14x+6 lim x→1 x5-x++8x3-8x²+16x-16

A:

Q: x²-5x 5. lim X→5 x-5 6. lim * 1 3+x 3

A:

Q: (a) -4 5x - (i) Lim 2x+9 N (x - 3) (il) Lim - 2x - 3

A: We will answer the first two questions. Please resubmit the other questions separately.

Q: x²- 1 lim x→1 x2+3x-4

A:

Q: x² + 6x + 9 lim x→-3 x2 + 2x - 3

A:

Q: Зx3-9х2 +х-3 3- lim x-3 x-3

A: On directly substituting the limit we obtain indeterminate form 00, so this is the wrong approach.…

Q: Evaluate the limit.

A: Consider the given limit, limx→-∞2x5+3x4-31x8x4-31x2+12 take x5 common from the numerator and x4…

Q: 2x-4 a. lim x+3 2x2-4 b. lim X- X+3 2x-4 c. lim x-2 X+3

A: a. L=limx→∞2x-4x+3  =limx→∞x(2-4x)x(1+3x)  =limx→∞2-4x1+3x  =2-01+0   ∵x→∞⇒1x→0  =2

Q: lim v2x3 – 3x² + x + 2 1 X→- 2

A: Given limx→122x3-3x2+x+2

Q: x3-8 5. lim X-2 x-2

A:

Q: a. lim X1 2x-3 8x-2x+1 b. lim x-o -11x2+5x-18

A:

Q: x²-1 8. lim x-1 x2+3x-4

A: Given: limx→1x2-1x2+3x-4

Q: x² - 1 1. lim- x→1 x2 +3x - 4

A: NOTE*** As per bartleby guidelines for more than one question asked only first is to be answered…

Q: 3x2-4x+2 5. lim X- 2 x3-5

A: Given: limx→23x2-4x+2x3-5 For evaluating given limit, we put x=2 in given expression

Q: 5+x-4x2 3. lim V1+x²+2x4

A: Given:                       limx→∞5+x-4x21+x2+2x4   Taking x2 common in the numerator and  x4 in…

Q: x³ – - 3x 2x² 5. lim X--5 x² - x

A:

Q: 6 - 8x (a) lim X- 0 6x3 - 2 6 - 8x (b) lim x- 0 6x - 2 6 - 8x2 (c) lim X- 00 бх — 2 II II

A: