4. lim 1000 x-1000 5. lim X--2 x

Q: 1 ? Why? 0* In(x) What is lim 10 8- 4 2 5 6 8 10 -4 -6 -8 -10 3.

A: The graph of 1lnx is, From the graph we can see that, As the value of x tends to 0 from the right…

Q: In x? c) lim- X-0 cotx2

A:

Q: 4 ex lim X 4 + 3e*

A: Given,              limx→∞4-ex4+3ex

Q: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3

A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

Q: 1 lim x→2- x – 2

A: The notation indicates that the limit is the value the function approaches to from the left of the…

Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: Evaluate lim x->-1 if f(x) {  1/x if x < -1                          { x2 - 2 if x ≥ -1

A: To evaluate: The limit limx→-1fx. Given: The function is fx=1x,        If x&lt;-1x2-2    If x≥-1.…

Q: х2 +x — 2 Vx + 4 – 2 - - (а) lim x→-2 (b) lim x + 2 y y 2 1.00 1 0.75 0.50 -3 -2 - 1 1 2 3 -3 -4 -3…

A: (a)limx→-2x2+x-2x+2blimx→0x+4-2x

Q: 2. 5 Lim X: CSC JZ% メラ。

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 21: The final value of :* lim (In(x))?

A:

Q: x+5 lim x→2 x´ – 4 x+5 lim x→2* x? – 4 x+5 lim 2 x→2 x² - 4

A: The given limits,limx→2-x+5x2-4limx→2+x+5x2-4limx→2x+5x2-4

Q: 32. lim x + x - 2 x2 - 1 2,

A:

Q: X – 4 | lim х-4 х2 — х — 12 O 4/7 O undefined 1/7

A:

Q: 10) lim (In x)2/x X00

A: Evaluate the limit in the following way:-

Q: 1 lim x→11-x .3 —х 1-х*

A:

Q: 1 lim *(x-2)* X-2

A:

Q: 22- iz lim 23 +1 10 -1 0 20 00

A:

Q: 3. 15. lim y- y+4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 4 – x lim x - 4 5- Vx² + 9

A:

Q: 2x^5-x^4-1/8x^5+x^3+x-2

A:

Q: Find the limit.  lim x→∞  8 − ex 8 + 3ex

A:

Q: 18) lim Xcos- X XI

A:

Q: Find the limit.

A: Given the limit: limx→0 4+x-2x

Q: 23) lim x In x X-0*

A:

Q: lim 19th 3. 1/-

A:

Q: 2) Find lim f(x). X→1 f(x> X 2. 2.

A: here      limx→1- f(x)=1    and            limx→1+ f(x)=2 here                            limx→1-…

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: 1) lim x + 5 x-3 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

A:

Q: √2+x-√2-x X lim- --0

A:

Q: 21) lim x-4/In x X-0+

A:

Q: 25. - lim (tan x)*om

A:

Q: Evaluate * lim (2 – x)tan | x→1 O Option 1 O Option 2

A:

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4

Q: 2 In x lim x→+∞

A:

Q: lim h-->inf   10/ (h^2+100)

A:

Q: 3x e - е -3x e 25. lim -3x + e 3x

A: Finding the limit of the given expression

Q: (-x X- if x < 0 15) lim X-0 X if x 20

A: Given: limx→0-x     if x&lt;0x        if x⩾0 To Find: The value of the given limit

Q: 4-If. 2-x s flx) < 2Cos(x) for all x then find: lim (x)

A: Given: 2-x≤f(x)≤2 cos(x)

Q: 28) lim x- tan"x メーマo 29) lim din x- X + x³ x3

A:

Q: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

Q: 5) lim f(x) x--2

A:

Q: Evaluate the limit. lim X→∞ 5 (₁ + 2/2 + 1/2)² X

A:

Q: 19.) lim X+2 X+-2 X ³³+8 3 tiran

A: To find limit of the given function as x approaches to -2.

Q: 1 ex-1. lim 1 ex+1

A:

Q: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: Lim x--->2 x^2+5x+6/x+2

A:

Q: ni eoulav sd no 2x + 5 13. lim x→-2+\x + 1八 +x ber

A:

Q: d. lim+ In 1000 X X5

A: