5-lim メ→1 1-X 一

Q: 2x +3 e that lim x2 + 5x 2

A:

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

A:

Q: lim [r – In(4x + 7)] x→+0

A: To find the limit

Q: 4x 4 lim,-1* - x-1 In x 4 3 5 1 O 2

A:

Q: x + tan x 2? — 5х — 14 - (а) lim x0 3x + 4x² (b) lim (Do not use L’Hospital rule in part(b)) x7- x2…

A: Using rules of limit's.

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

A:

Q: 1) lim (1--)*

A: As per our guidelines we can solve only 1 question. The rest can be reposted.    In question  no 1…

Q: (a) n+ (-1) 2n lim

A: limn→∞-1nn+12n

Q: 1 lim x→11-x .3 —х 1-х*

A:

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: c. lim In³ x

A:

Q: 1. lim x- 2x + 6

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 1) lim (1- – - 3,

A: The given limit is limx→∞1-3xx

Q: 4 - VE lim x>16 16x – x?

A: Given: limx→164-x16x-x2

Q: 1 b. lim ,5 x-0

A:

Q: 31. lim (x2- 1) 3 -2

A: Given

Q: 16 2x lim x2 – 4 x – 2 x→2 - -

A:

Q: Find the limit.

A: Given: lim∆x→0(x+∆x)2-x2∆x

Q: 1) lim (2x² + x + 4) x--1

A: Given limit, limx→-12x2+x+4

Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

A:

Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

A:

Q: 5. Find lim X00 ex2

A: given , limx→∞x3ex2 we have to find limit of given function

Q: Solve for the lim[e* + x]%. x00

A: Given,           limx→∞ex+x1x

Q: 2x? – x +3 compute lim- x>* x - 2x +5

A:

Q: Find the limit.

A: Given the limit: limx→0 4+x-2x

Q: х2—1 lim х-1+ In(x)

A:

Q: 9x +1 lim O-ズ X-1

A:

Q: tan 2x lim 4.x4

A:

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

A:

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

A: Let's find.

Q: х+10 е. lim X2- x - 2

A:

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

A:

Q: (220_ 3.x)– (e20_3e) lim -3x is x-e

A:

Q: Calculate the limit.

A: We have to find the limit: limx→∞ln3x+1-ln2x+1 It is ∞-∞ form. Simplifying further using logarithmic…

Q: 2 In x lim x→+∞

A:

Q: 1x+21 Ex.2: lim ダー→ -2 (x+3) x+2

A: limx→-2-(x+3)|x+2|x+2

Q: 4x 4 lim, -1+( - x-1 In x 4 1 O 2 3.

A: Given : limx→1+4xx-1 -4lnx

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: lim In(10x) x-0t

A: To find the below right-hand limit.

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

A:

Q: 399. [T] lim e(x - 1) x-1 x-1

A:

Q: /14-х-3 lim 1-V6-х X→5 4-Vx lim х>16 16-х

A:

Q: 2. Evaluate lim (5x - 2 x+3.

A: To evaluate the limit: limx→∞5x-2x+3 Solution: We know that, limx→afx-gx=limx→afx-limx→agx Using the…

Q: 1 lim In csch (1– 2x,

A: Let L is the value of given Limit

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:

Q: 10. lim is X-- А. со B. -00 С. -1 D. 1

A:

Q: Evaluate limx=0 (e-ax - e-bx)/x

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.