Vx? + 12 – 4 lim x - 2 X-2

Q: H.W 5) Lim x²9 Xート1 X+3

A: Given,

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: It is given that, limx→-2x3+8x2+6x+8 and an identity is also given, which is such as,…

Q: x? – 4x Find Lim x-00 3x3 + 6x A. 0 В. О 2 С. D. 3 8 olo

A:

Q: Q2: Fill the blank: 1) lim (1+)52 x48 4x 2) lim x.e-3x = X-80 3) (csch¯¹x³) = . dx 5x =...

A:

Q: 2x²+3x Evaluate lim,→∞ x3+x+1 O None O O

A: We have to find limit

Q: x² – 9x³ - Find Lim x0o 6x-+ 4x A. B. 0 D. Select.one: OD O C 3/2 8. C.

A: Evaluating the limit value

Q: x* + x? 1 lim

A:

Q: ng the fraction lim xy-y-9x+9 X-1 (x.y) (1,6) x#1

A:

Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

Q: x² – 9 (b) lim x→3- x + 3

A:

Q: V(2x + 4) – V8 Evaluate lim x→2 x - 2 O None 1 V8

A:

Q: ? lim (8x + 3) (x - 3) Evaluate x → ∞

A:

Q: 2e3+6 + x Evaluate lim x-2 and write your answer in simplest form. 2x +4

A:

Q: xª – x² + 8x lim 5.x4 + 7 Select the correct response: 1

A:

Q: flx) = Jx-7 Lim f(3+h)-f(3) ||

A:

Q: x+2 Find Lim x-2+ 3x - 12 A. B. 12 1 C. 12 D.

A:

Q: Vx+5- 2 The value of lim x+1 А. 1 B. С. У D. 2/3

A:

Q: x - 7x+ 10 Find lim as х3 -5x? b. х>5* d. x→5 а. х>0* с. х>5

A: We need to find the expression of the limit for the given conditions. Here,

Q: V9x2 + 4 96, lim x-0 6x +1 X00

A: Solve the limit

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: Evaluate V(4r + 12)– 6 lim Зх- 18

A: "Since, you have asked multiple question, we will solve the first questionfor you. If you want any…

Q: x² – 16 lim x→4 x – 4

A:

Q: Im x?-x-le Lim メラー2 2. 2-2

A: Given limit is: limx→-2x2-x-4x2-2

Q: Vx2-7х+16-у6 2. lim X→5 (х-5)/x+1

A:

Q: x + 2 3x-12 Find Lim A. B. 12 12 00 D.

A:

Q: x? – 4x Find Lim x-0 3x2 + 6x А. 3 3 2 С. D. 3 B. olo

A:

Q: x2 − 1 ?. (a) Evaluate Lim    _____________                         x→1    x2 + 5x − 6

A: We will factor the numerator and the denominator first

Q: Jxi +5 lim + 5 x² -. Q4/ a) Find

A:

Q: x² – 4x + 3 Find Lim x-0 5

A:

Q: 2x²-xy-y² x2-y? Evaluate lim (x.y)-(1,1) 3. 2 0 2. 20 2/2 2. 10

A: Answer

Q: S(f(x)) 16. Find lim x-4 5x + 20 А. В. 0 С. D. does not exist 5

A:

Q: x+6x tq 4) lim X→-3 x+3

A: Given, limx→-3x2+6x+9x+3 when x tends to -3 then the given function takes the form 00, which is…

Q: ■ Find the limit.

A: Given;                               limx→2-x2-2xx2-4x+4 Evaluate:              limx→2-x2-2xx2-4x+4…

Q: V – 5x + 3 62. lim x→-∞2x + x/3 - 4

A:

Q: (3x-7 x21 lim f(x) = 19. (x)= r+4 x<1 %3D

A: 19) The given function is fx=3x-7x≥1x2+4x&lt;1 To find: limx→1-fx

Q: 4 Find Lim x0 2ex-12 A.- В. 51 C. -0.4 D. 0.5 2/7

A:

Q: x+ 2 Find Lim x-2+ 3x2 – 12 А. В. 12 1 C. D. 00 12 O10

A:

Q: 2x2 + 100x Find lim 1 - x3 x→-00 Select one: O +∞ O 2 O -2

A:

Q: 2x? +10х а) lim ** x - 3x + 4

A:

Q: Vx+4 -2 1 limx-0 2 True False O

A:

Q: х?- 5х + 4 5. lim X→4 x2 - 2x – 8 D. 3.-를 C. - A.

A:

Q: 3x* - 4x +1 lim (x -1)? P)

A:

Q: x² + 4 Find Lim x-0 ex + 1' A. 2 В. Оо С. 1 D. 4

A:

Q: x? + 4 Find Lim- x-0 2e* + 1 4 А. 3 В. оо 3 D. 4 С. О

A:

Q: x? - 2y2 lim (x,y)-(0,0) x2 + 2y2

A:

Q: x2" lim; 2" 02

A: When limit is of the form 00or ∞∞ (Indeterminate form ) then L Hospital's rule is applied , In L…

Q: ху - Зу - 7x +21 lim (Simplify your answer.) x- 3 (x.y)-(3,2) X+3

A: First we take fraction then take limit.

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.