lim V8+X -2

Q: Evaluate the limit.

A: The given question belonging to the calculus in which we have to find the limiting value of the…

Q: Find the limits

A: We will find the limit by substitution

Q: 8) lim 2X - メーラ メ1x (-3

A: Here we have;  A=limx→32x2-x-15x|x-3|

Q: 2. lim b.) Caiり→(2)×り - 1

A: Put x=1,y=2,z=3 in the given expression to obtain the answer

Q: lim (6x - 6x - 8) X-2

A:

Q: lim (8x3 - 4x² + 4) X--1

A: Given,            limx→-1 8x3 - 4x2 + 4

Q: lim -5 -1 X→2

A: We have to find limit

Q: lim Vx -2 X-04 X-4

A: we use in this question rationalization.

Q: Lim 5x−3 – 4 x→∞ 2x-2 + 9

A: Given,          limx→∞5x-3-42x-2+9

Q: Find:

A: Let f(x) = limx→3 4x2

Q: Find the limits

A: The given function is

Q: Vx² – 2x + 2 lim – x 5 – 7x

A:

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: x + 2 lim x³ + 8 x--2

A: We have to find the given limit: limx→-2x+2x3+8 Since it is 00 indeterminate form so simplifying the…

Q: lim 4e-4x

A: Using limit property we have

Q: sin(Va-4) lim -16 16(-1)

A: For any real value of b, the expression, limx→bx is defined aslimx→bx =b . If limx→bf(x)g(x) takes…

Q: lim- 1. 4x2 - 16 X+4X

A: Given that  Limit x to 4 1/(x^2-16)

Q: lim X+X -4 6x²-5

A: Infinity Limits

Q: Find the limit L.

A: limx→-2 4x+5

Q: Find the limits

A: Given: limx→-∞2x+4x2+3x-2. for finding this limit we multiply and divide with 2x-4x2+3x-2

Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: lim 7x+x² X-3

A: Given that, limx→37x+x2x-3

Q: ■ Find the limit.

A: Evaluate limx→∞3x-22x+1

Q: う lim -3K -×)。 X 00

A:

Q: x² – 9 (с) lim х—-3 х + 3

A: To evaluate the given limit.

Q: lim ス-1 x3 メ42x -3 メ+3

A: Let the function fx = 2-x+3x2+2x-3            we need to find out limx→1 fx = limx→1 2-x+3x2+2x-3 If…

Q: Lim (x"-3x) (%5x+3) 2. とつ-!

A:

Q: х-1 а) lim х-2 (х-2)*

A: We have to find

Q: lim 6ex - 4 X→4

A:

Q: lim (9x* — 2а* + 7a — 5)

A:

Q: Find the limit

A:

Q: Find the limits

A: The given function is limx→22x+511-x3 The value of the limits is determined at the tending value of…

Q: b) lim 5+x5

A:

Q: lim + 4x - - X00

A:

Q: 3x +1 lim カ→8 2g -1

A:

Q: Find the limit

A:

Q: Lim 5X-1 - 3 J5メ-1 2. メ→2 8-2X

A: use L'Hospital rule to solve given problem...

Q: I2+10x lim 14 -6x 2+10x lim 14- 6x

A:

Q: lim 7x + 3. x-2

A:

Q: Lim Nx-2 X→2_×<ー4

A: Solution-

Q: lim 7x X→-1 11 ノ

A:

Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: lim→−2 x^2+4x+4

A: we have to evaluatelimx→-2 x2+4x+4

Q: Vx-2, limx→4 X-4

A:

Q: lim 4x45 X-D5 X+5

A: Given, limx→5 4x+5x+5

Q: lim x2 – 5x + 6 -2+

A:

Q: 9) lim X+ 2x² +3 2x+3

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.