t Find the limit of the following: a. fim 4x-x-3 5x-3x b. lim 6x + 5 c. lim 3x-8 sint d. lim 2x-7 lim

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: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: Evaluate lim(1 – 2x)ž. x-0

A: To find the limit It is in the form 1infinity , so use the below steps. When (0/0) form comes , we…

Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

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

A: Given  We need to find the limit.

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: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

Q: C. lim x-+3* X-3

A:

Q: Vx² +4 - 2 Find lim x->0

A: Consider the given limit limx→0x2+4-2x So, limx→0x2+4-2x=00   Apply L'Hospital's rule:…

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 the limit: 2x + 16 – 4 lim 7x

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: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: lim 3x+9x2-4x+17 5x3-3x-14 004-2

A: limx→∞3x3+9x2-4x+175x3-3x-14

Q: Find the limit L. 2x+12x+ 10 lim x+5

A:

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Evaluate the limit: lim (6x47x)= I→ 2 =

A:

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: Determine the limit: 14x – 52 13 - x lim X- 13-

A:

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Зх + 5 3 lim 6х — 8

A: Given limx→∞(3x+56x-8)13

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

A:

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.