Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x + 14

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: Evaluate limr→∞ -8x³+10x 7x-x2 2 8.

A:

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: 3. Find lim x-2 x - √5x + 6 x-6

A: The limit is given by limx→2x-5x+6x-6 To evaluate: The value of the limit.

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: Determine lim(3x - 5). x----2

A: To find: limx→2 (3x-5)

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Evaluate 23 - 7x2 +10x lim x² + x – 6 Select one: O a. -6/5 O b. -1/5 Oc. -5/6 O d. 2/5

A: limx→2x3 - 7x2 + 10xx2 + x -6

Q: Evaluate 9-x-3 lim x→0 6 3 О 1/6 -1/6

A: We need to evaluate the value of the following limit limx→09-x -3x

Q: lim(V9x² +x – 3x) Evaluate lim V9x² +x – 3x X00

A: Solve for the limit

Q: Vx-15-1 3. Evaluate lim X-4 x-4

A:

Q: Find the limits x* + x lim Xo 12x + 128

A: The limit gives the value towards which an expression converges as its variable approach to certain…

Q: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: Evaluate 7x + 10 lim xS5 x - 5

A:

Q: Evaluate limits x - 3x +2 lim X-1 2x +x-3 lim x9x +1 i, XV

A: Here we have to elevate the limit for the given questions

Q: Evaluate lim(2x3 – 3x + 1) x-3

A: Topic - limits

Q: 3x 2+13x+4 p. Evaluate: lim x--2( 2x 2+5x-12

A: Topic = Limits

Q: Evaluate the limit 10x2 7x +7 lim 2x +7 08.

A: Given query is to find the limit of the expression.

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Evaluate the limit 4x + 9 lim x 11x²9x +9

A:

Q: Q5:-Evaluate the following limits 3x-3x2+5x-9 1. lim, Tx 43x3

A:

Q: Evaluate lim x Inx². x→0+

A: We have to find the limit.                                   limx→0+xlnx2

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.