lim e5t -1 / t =? t-->0

Q: Find the limit.

A:

Q: 7) lim (Ln(x) – x) X→∞

A:

Q: lim          e((x+4)/(x+2)) x->2-

A: Insert the value of given limit. The result is a finite number.

Q: lim 2x'e X- | X→+∞

A: To find: The limit of a given problem

Q: lim et- ハ→0 ¥

A:

Q: V-x – 2 – V3 te lim x--5 -x - 5

A:

Q: lim x->infinity  6e10x

A: Given: -

Q: Lim x approaches to - infinity (5-1/x)

A:

Q: 5. lim X-0 e2x-1

A:

Q: lim (nx{n(x -1)=? Use L'Hospital's Rule

A:

Q: lim x approaches 6 .............. 8(t - 5)(t - 7)

A: We have to find the limit: limt→68t-5t-7 This is determinate form of limit so we just have to put…

Q: 3. lim x cot 2x

A: Given,         limx→0xcot2x

Q: lim (x²+2) sech(x) X → 00

A:

Q: Lim 1- Cosx て X-)0

A: Given: L=limx→01-cosxsin2x We know that 1-cos2x=2sin2x…

Q: 2) lim-(x-) ta tan x

A:

Q: lim (x2 – x')e?* X -

A:

Q: xtan x Solve for the lim X0 sin 3x

A: Given : limx→0x tanxsin3x   To find : Solution of the given limit?

Q: lim x cot 2x /

A: We use L Hospital's Rule to find given limit

Q: lim (lnx/x1/2 - 1/x)  ? x-->infinity

A:

Q: Find the limit

A:

Q: lim sec x x-(-71/2)"

A:

Q: xtanx Solve for the lim x-0 sin 3x

A: To solve this problem we have to use L' Hopital's rule.

Q: sin(2Tx) lim x → 3 x2 – 9 | O -0.6667 T O 0.6667 T O 0.3333 ↑ О -0.3333 п

A:

Q: lim (s_)( stl 5+g?

A:

Q: lim Un'tl-n):

A: Consider the limit limn→∞n2+1−n

Q: 3. lim e x→3*

A:

Q: lim d. (XS tan (5x)

A: Solution of limit is given below..

Q: lim x?e- X00

A: Given

Q: lim infinity x square root 3x

A: Here we can see from the help of graph of square root of x.

Q: lim Jx-S

A:

Q: B. lim (tan x)* 1-0+

A: Given:  Let y=limx→0+ tan xx2 To Find: To evaluate the given limit.

Q: lim log, (cosx) -3 t 2.

A: Here we can see that applying the limit, the limit does not enter into an indeterminate form, so we…

Q: lim                ex - x - 1 / x2 x => 0

A: Given:

Q: lim h-->inf   10/ (h^2+100)

A:

Q: f -3 -2 -1 -2 -3 2.

A:

Q: Lim 4 ht X

A:

Q: (x-x) ーズ) 13. lim EX

A:

Q: lim                 xx x => 0+

A: Given,

Q: sinh x Evaluate lim et

A: We have to find limit of given function limx→∞sinhxex We know, sinhx=ex-e-x2 limx→∞sinhxex

Q: lim ln (x ") 14 6x

A: Given : limx→∞lnx146x

Q: lim (5x+1/5x-1)x  ? x-->infinity

A:

Q: lim Q3/ Evaluate -costx) 3 sec x (1+ X /2

A:

Q: b) lim xã 00-X

A: To evaluate the limit: limx→∞x1x. Solution: We know that, elna=a Using the above property,…

Q: (p- [d) lim xn x→-0

A: In this question, the concept of limit is applied. Limit The limit formula is employed to calculate…

Q: tanx is :- of lim (X) メー→o The Value

A: Given,

Q: Along the path x = e" find y +4xy lim (х.)- (1,0) Зх — у -3 does not exist O -2 -3 2 0 30

A: Explanation of the answer is as follows

Q: lim lx-1| х>1 1-х ?

A:

Q: Find the limit

A:

Q: Lim ģ G メ-ム

A: We have to use L' Hospitals rule ,if we get any indeterminate forms (00,0×∞, ∞∞,∞,-∞) when we…

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.