Lim   ( ((2x − 1)^0/5) − 3)/ x-5 x→5

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: 4 ex lim X 4 + 3e*

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

Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞…

Q: limx-->0 sin3x/ex-1

A:

Q: Lim secx -co tx メーマ

A:

Q: How do I compute  limx→4(x^2−6x+8/x^2−4x)

A:

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

A:

Q: How many times must l'hôpital's rule be applied to evaluate ex - e-X – 2x lim X + 0 X- sinx

A:

Q: lim х>1 \x-1 X→1 Inx,

A:

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: 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: Find the limits

A: Given Data The limit is limx→-32-x2-5x+3.   Solve the given limit expression,…

Q: Why can't L'Hopitals Rule be applied to evaluate x - cos x lim x→+00 x + sin x

A: We have to explain about the given information

Q: x-sin 2x Find lim 2х

A:

Q: 2 2- limx-1 sin(x3-1) x-1

A:

Q: 4 – x lim X → 4 5- Vx² +9

A: We have to find the limit

Q: : limx->0(1/x3)

A: We have to simplify the given expression. The given expression is limx→01x3∫0xt2t4+1dt

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

A:

Q: 4. Use L'Hopital's rule to evaluate sinh(2) lim x+0 sec(x) - 1

A: we have to evaluate  limx→0sinh2xsecx-1=00 It is known that ddxsecx=secx tanxddxsinhx=coshxddxtan…

Q: 8. lim vx +6x+1-Vx² +x

A:

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

A:

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: lim (sech 2x)csch x x² +0+*

A:

Q: se Ľ' Horpitals Rule to find X>0 lim e2x_I SInX

A:

Q: lim (In(x))* ?

A:

Q: 3) lim Lnx .tanx x-0+

A: Use lim sinx/x and L'Hospital law .

Q: TD - xs3もーな x sin"x Lim ×→の

A:

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

A: Given,

Q: 2. lim x sec 2x

A:

Q: lim -Vx + +sin(x)cos(x) 1+In (x)

A: Topic:- limits

Q: (1) lim,-0 √x+9-3 X (2) lim-0 1–c05x x sinx (3) limx-1 x²+3x-4 x-1

A:

Q: Evaluate exactly lim (1 + sinx)²cotx x→0

A: This question is indeterminate form of 1infinity and solved using L Hospital rule.

Q: 1) lim-sinxr x-0

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

Q: 2- x - sinx 1. lim x00 x + cosx x*+2x-1 2. lim-0 x3-2x2+x

A:

Q: limx>0+ arcrtan(2x)/ln(x)

A: Given: limx→0+tan-12xlnx for evaluating given limit, we substitute x=0+ in given limit

Q: 6x +55 –5 lim X +5 x+ -5

A:

Q: 4- lim Vsin x

A:

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

A: Use simple result of limit

Q: 1. lim ux-121 X-3

A:

Q: 5 sin(6x) lim x→0 3x

A:

Q: 2tanx-sin2x 6. lim X0 x3

A:

Q: limit as x approaches infinity of (-1)x+1

A: Apply the limit.

Q: 1 lim ( - X→1 \x-1 х-1 Inx

A: Definition of limits helps to find the limit of the function. A value at which the function…

Q: Compute limx→0 sin(x) − x / x^3

A: To find the limit, simplify the expression and then apply the limit to each term in the expression.…

Q: 2tan x- x lim, -1 2х -sin " x,

A:

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

A:

Q: limx¬1 x(1 – cos-) x→1

A:

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…

Q: lim as x goes to 0 (sin(2x)+7x2 - 2x / x4 + 2x3 + x2)

A: