Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

Q: Vx+5-3 b) lim x→4 х-4

A:

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

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

Q: Find the limit. 5) lim 3x²+7x-2 x- 3x² - 4x-2

A: We will find the required limit.

Q: 2 3 Determine the limit: lim x1- 2- 4x + 3

A: To determine left hand limit of given function.

Q: Find the limit. 3) lim Vx2 + 5x - Vx2 - 3x X00

A: To find the given limit.limx→∞x2+5x-x2-3x

Q: Using the graph above, evaluate the following : a) limf(x) X-0- b) limf(x) X-0+ c) limf (x) X-0 d)…

A: The graph is given below:

Q: 2. Find lim (√x + 2 = √2).

A:

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: 25) Find: lim,(x²+ax - √x² + bx).

A:

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: 10-1 Q6) Find the value of lim

A: To evaluate the given limit

Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

A: Here I am attaching image so that you understand each and every step.

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: +1 limx0 t2+1

A:

Q: Q6) Find the value of lim X-0

A:

Q: 3x+x Q2) Evaluate limy+o 2-8

A:

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: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: sinar lim,-1 r-1

A: Given limit is  limr→1sinπrr-1 Evaluate the limit. limr→1sinπrr-1=00 indeterminate form

Q: り Lar Po-S 2x45 fo) =S 2x45 XくO 3-5x 1+4X+x3 find (0) lim fox) (6) lim fa) メー→+0 X -00

A: To find the limits of the given function f(x)

Q: 2х -1 The value of lim, is 2x2 +1 1 x→-- 2 a) 3 2 b) - 4 | d) 3. 4 3. 3.

A:

Q: d) (x+27) -3 X lim-

A:

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

A: Topic = Limits

Q: Evaluate: 2-3х lim (3— г)? - a) 0 b) -00 c) 3 d) +∞

A: Hence option (b) is correct.

Q: valuate the lim+ − -2 (t² - 9) / (t³ + 5t +19) a. 1 Ob. -5

A: Introduction:A function may approach two different limits. One where the variable approaches its…

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…

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.