(e -e-(x-1) lim (х-1) (e*-е) x→1+

Q: lim (1-e X-

A: Limiting value of function is the value achieved by function when variable tends to approach certain…

Q: 1 lim- x+ In x 2 dt =? e

A:

Q: x-2 6. lim x-2-2-V4x-x- 7. lim (-1) t-o t \vt+3

A: 6. We need to evaluate limx→2-x-22-4x-x2…

Q: 1-cos(x) Find lim x-0 2x

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Q: lim (In(x))½ ?

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Q: Lim secx -co tx メーマ

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Q: lim In x X-→ 0+

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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: 1+x V1-x sin-1(x) [3] limx-0

A: To evaluate: lim[x→01+x-1-xsin-1(x)] Solution: lim[x→01+x-1-xsin-1(x)] On simplifying further we…

Q: limit as x approaches infinity of (e^x + e^-x)/(e^x - e^-x)

A: Consider the given expression of which limit has to be calculated:

Q: lim (cos(9x)) (+) x-0+

A:

Q: 25-и-5 e. lim u-0 vi+u-1 f. lim (3x² + 1)-2 x--00 2x? g. lim X+0o x²+1 x3+x

A: To evaluate the limit: e). limu→025-u-51+u-1 It is 00 form. We will evaluate the limit using…

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

Q: 13) lim (n z 2-70 24) lim e- é- ース x - sinx 34) lim (Csx - Cotx)

A: Wherever applicable we used L'Hopital rule

Q: 1. lim In (x –9) 2. lim log, (8x-x*) x3* x-2" 3. lim In (cos x) 4. lim In (sin x)

A:

Q: e- lim x-3 x2-9 V3x-3 ,x + 3

A:

Q: If you initially invest $1 at an interest rate of 2% compounded n times per year, the value of the…

A: NOTE: Refresh your page if you can't see any equations. . the given formula is  now apply limit

Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…

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Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

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Q: x- cosX X- COS X 4. lim,

A: Our Aim is to evaluate the limits given below:-limx→∞x-cos (x)x-(i)

Q: 1. lim (3x + 2) X--3 2. lim(1-x2) -2x2+ 4) X-1 3. lim(3x

A:

Q: 3/x – 3 (k) limx→-∞ 5 - x x³ +1 (1) limx→-∞ Cos -0- x6 +x5 + 100

A: For (k), We need to find limx→ -∞ x-35-x3. So,            limx→ -∞ x-35-x3We know that,…

Q: 1. lim x-> -7 f(x)=    2. lim x-> -3 f(x) =  3. lim x->-2- f(x)=

A: Note : As per the authoring guidelines,when multiple subparts are in one question,then only first…

Q: lim (In x) x→0+

A: Given,          limx→0+lnx

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

A:

Q: 1-x c) lim- x1 1-Vx こ 11- sin x d) lim エー→0

A:

Q: general question on why is the lim of x approaches positive infinity of ekx /xn =infinity and lim of…

A: (A)Firstly, we will plug x=inf we will get inf/inf So, we can use L'hospital rule

Q: lim x approaches 0 (e3x-3x-1)/x2

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Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

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Q: lim (In(x))* ?

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Q: x+6 lim x--6t x+ 6 lim x6 x6 Jx 6 lim x6 x6 =

A: If x-> -6^+ then x>-6That means x+6>0So, |x+6|=x+6Answer(a): limit x-> -6^+ |x+6|/(x+6)=…

Q: 1-cos*x 5. lim X-0 xsinx

A: Given,

Q: √2+x-√2-x X lim- --0

A:

Q: 1) lim-sinxr x-0

A: given equation is     limx-->0  (x-sinx) / x³ ** L hospital rule =>    limx-->0  f(x) /…

Q: lim = e7x- e6x/ex-1 x>0

A:

Q: lim h-->inf   10/ (h^2+100)

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Q: 3x e - е -3x e 25. lim -3x + e 3x

A: Finding the limit of the given expression

Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: 4 ) lim- (x-.tanx 17

A: Use simple result of limit

Q: x2 – 2 3. lim x→2+ [x – x | x2 + 2x 4. lim x→0 x2 2.x - x2 5. lim x→2 10x + 16 - x2 – x – 2 - -

A:

Q: 1-cos (4x) e) lim x0 2-2cos (6x) (x+1)2 + (2x+3)³ 3x2(8x+1) h) lim X00

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Q: Prove that lim x cos 4 = 0. X-0 -1 s cos(4/x)s 1 = -x s cos(4/x) s x*. since lim (-x*) = x-0 and lim…

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Q: 4xy lim Compute the (xy) (0,0)

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Q: 1 x-1 x-1 ln x 3) lim

A: Explanation of the answer is as follows

Q: et 1 lim (→0-

A: We need to calculate limx→0-ex-1x

Q: Find the limits

A: Given,                     lim(x,y)→(0,ln2)ex-y     And we have to find its limit.

Q: j) lim e- =

A: 2. (j). We have to find the limit:  limx→∞ e-x

Q: 2х а) lim -1-2x (sin 2x)+² - et b) lim -4x - cos x

A: