1 lim ( - X→1 \x-1 х-1 Inx

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: 4. lim xy (xy)-(0.0) v2-e-1

A: To evaluate limx,y→0,0xy2-exy-1 Substitute t=xy, then as x,y tends to 0,0 implies t tends to 0.…

Q: 8. lim vx +6x+1-Vx +x =

A: Given that limx→∞x2+6x+1-x2+x Now, limx→∞x2+6x+1-x2+x=limx→∞x2+6x+1-x2+x×x2+6x+1+x2+xx2+6x+1+x2+x…

Q: - «) lim (2 – ez x→0

A:

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

A:

Q: (2) 1: limx-1 sin(x3–1) x-1

A: limx→1 (2-1x)2sin(x3-1)x-1=limx→1 (2x-1x)2sin(x3-1)x-1=limx→1 4x2-4x+1x2sin(x3-1)x-1=limx→1…

Q: 9x +1 lim x - 1 V1+x-1 lim x-0 lim 2x2 + 3x lim x05x2 - 2x Dr ohammed Jas

A:

Q: 1 lim (Lnx)x

A: To find limx→∞lnx1x

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: (1 cosr)dt 1. limx-0 2x -?

A:

Q: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: 7 arctan(x) Calculate lim 0 x3 + 6x

A:

Q: 2x lim x→0 Vx + 1 – 1

A: Given limit expression is limx→02xx+1-1.

Q: 1 lim X→0 In(1+x) 1 Arctanx

A: Given The limit is limx→01ln1+x-1arctan x .

Q: will lim n-00 In(x)dx lim fn(x)dx?

A: Given that, fnx=2n2x;x≤12n2n1-nx;12n<x≤1n0;1n<x where , fnx on 0,1 It is possible to take…

Q: 1-cos 2x lim x→0 x2

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

Q: lim In(r) - 0t

A: Consider the given limit

Q: 9. lim- x→0 3 - Vx+9

A: we use l hospital rule to evaluate the limit.

Q: c. lim In³ x

A:

Q: lim x In(2x) x→0+

A:

Q: 4 – x lim X → 4 5- Vx² +9

A: We have to find the limit

Q: 8. lim vx +6x+1-Vx² +x

A:

Q: if fn(x) – f(x)|dx = 0 lim show 1 |fn(x) – f(x)| |1+ fn(x)f(x)| lim dx = 0

A: In the given question w have to prove that if the integration  limn→∞∫01fn(x)-f(x)dx=0then…

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

A:

Q: By L'Hopital's Rule, X-2 lim x→2 X²-1 1 1 lim. = x→2 2X 4

A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: Lim 1 - - x + n x х — 1 x' - 3x + 2

A:

Q: (3) Evaluate lim -(1+sin(4))t dt

A:

Q: lim (sech 2x)csch x x² +0+*

A:

Q: d. lim h(x) Preview e. lim h(x) = x→00 Preview f. lim h(x) = 00--x

A:

Q: 1 lim х-0+ \x = 0 Arctan x,

A: Topic = limits  As per guidelines, At a time only one question can be answered.  please repost for…

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: 2. lim x sec 2x

A:

Q: 4-V16+h 9. lim x+sin x 12. lim

A: Note: As per bartleby guidelines for more than one questions asked only one question is to be…

Q: 7- sin-(e*) 2 lim V1 - e2x

A:

Q: 1 lim - 1)dt x→1|1 [1 – x

A: We have to find the limit of the complex expression involving integration . first we have to find…

Q: 5. lim (ex – V2x) x→0+

A:

Q: 1 lim 2 -1 x* -1,

A:

Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

Q: 4 - V5t + 1 lim +3 vt +1– 2

A: Let L=limt→34-5t+1t+1-2

Q: 1. lim ux-121 X-3

A:

Q: 5 sin(6x) lim x→0 3x

A:

Q: 1 lim x-0 X 1 ´dt x4 1 = ? 3x2

A:

Q: 1/x 2 In(5x) H lim 2 5x = lim lim lim X- V 5x 5x 2 5x

A: The solution of given problem as follows:

Q: х — 1 lim x→1+ Vx + 2

A: Here we need to find the right hand limit only.To find the required limit substitute the variable…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.