Evaluate the following limits: (c) lim 2 x²+3x-10 x-2

Q: Use the formal definition of the limit to prove the statement rigorously.

A: We have to prove the statement using formal definition of the limit: limx→13x2+x=4 This is…

Q: Evaluate the following limits. x2 - 4 lim x-2 x - 2 1.

A: Given: limx→2x2-4x-2 Simplify the equation…

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: 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 following limits or explain why they do not exist. x2 + 3x-4 (а) lim x-4 x2 +x – 12 In…

A:

Q: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: Reduce the expression and then evaluate the limit. x2 – 1 lim x-1 x3 - 1

A: Factorise the both polynomials and cut the common factor the put x=1

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

A:

Q: Determine the following limits or state that they do not exist.

A:

Q: Evaluate the following limits.

A: Given: limx→1 x-14x+5 -3 To evaluate: The given limit.

Q: Evaluate the following limits. 2- Vx lim x-4 4-x 3.

A: Given limit, limx→42-x4-x

Q: The value of the limit 2-x3 lim x2+3x3 is Select one: -1/3

A: The given expression is limx→∞2-x3x2+3x3

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: Evaluate the limit x2 + 8x + 15 lim x → - 3 x + 3

A: =?

Q: 4x-5 1. lim x-3 5x+1 3x2-8x-16 2. lim x-4 2x2-9x+4

A:

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

A:

Q: Find the limits of the following: (2x²-9x-5 lim 1 (i) x-5 \x²-9x+20 2х, 5-Vx+9 lim x→16 x-V256 (ii)

A: We have to find the limits.

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

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

A:

Q: Determine the following limits or state that they do not exist.

A: a. limx→3+2x-33=∞   ∵x-3 tends to 0 from the right side as x tends to 3 from the right side. b.…

Q: Evaluate the following limits: x- (а) lim x→-2- x² – 4 x- | (b) lim x→-2+ x² - 4 - (c) lim x→-2 x2 -…

A: Given query is to evaluate the limit at different values.

Q: Determine the following limits. 2 a. lim xS3 1x - 323 2 b. im - 32° 2 xS3- 1x - 323 c. lim xS3 1x…

A:

Q: Find the following limits if they exist. 1. 2 3. 8x lim x+* 5x – 7 4x +1 lim x-* x-7 2. x+2x+x+27…

A: To evaluate the given limits.

Q: x²-3x-10 a) lim x-5 x-5

A:

Q: Evaluate the limit: x² - 7x + 3 lim x→∞ x3 - 9x2 + 2

A:

Q: Determine the following limits or state that they do not exist.

A: Given

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

A:

Q: Use the formal definition of the limit to prove the statement rigorously.

A: Given function is f(x)=3x2+x and the point is x=1

Q: a) lim 3x2-10x5

A: Find the limit of 3x^2-10x^5 at - infinity

Q: Find the limit, if it exists

A: When numerator and denominator both are algebraic expressions and x-->+ ∞  or x--> - ∞  Then,…

Q: 4x 3. lim X-4+Vx-4

A:

Q: Evaluate the following Limits: (i) lim x2 — 4х х-2 (3х-1)2 (ii) lim X-1 х+1

A:

Q: Evaluate the following limits: 3x-14x-5 lim- .2 4.x 5| a) x+5 2x2 -13x +15

A: Find the limit

Q: Evaluate the following limits. (x+1)² x² -1 x→-1 а) lim Vx - 4 lim b) х-16 x→16

A: a). On directly substituting the limit, the indeterminate form will be obtained, so first we need…

Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as 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: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

A:

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

A:

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: -6x -7x 5. lim 4x -2x² -8

A: We will find the limit by direct method.

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: lim X-1 2メー1 4x2

A:

Q: ) find the following limits if exist:- x²+3x-4 x-1 limx-17

A:

Q: Evaluate the limit. 8x 4 lim x→4 \x² – 16 X -4,

A: To evaluate the limit: limx→48xx2-16-4x-4 Solution: We can find that if we evaluate limit then we…

Q: x²-4x-5 B. lim ズ→5 ズー5

A: first of all factor the numerator, then apply the limits

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: Determine the following limits. lim 1x + Vr - 5x2 xS-00

A: Given: limx→-∞x+x2-5x