lim x->infinity  6e10x

Q: d. Lim (1-3x)^5/x

A: The answer is - 1/e15

Q: lim(x→00)[(x^2-2x)/(x^2+1)=?

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

Q: lim = 0 || x→00 X X 00

A: To show: limx→∞1x2=0 Solution: Given limit is, limx→∞1x2 As,x→∞,⇒x2→∞And,1x2→0 (As,1∞→0)⇒limx→∞1x2=0

Q: 7) lim (Ln(x) – x) X→∞

A:

Q: X -2х+5 lim X→+0 7x° +x+1 a.

A:

Q: 1. lim 13m45 – 6m12 + 100m - 42 x2 - x-6 2. lim I-2 x2 – 2 6 - x + 3x2 3. lim 2л - 4

A: 1. limm→∞13m45-6m12+100m-422. limx→-2x2-x-6x2-23. limx→-∞6-x+3x22x-4 Note:   There are multiple…

Q: 5. lim X-0 e2x-1

A:

Q: lim[1+x]5/x where x approaches infinity   How do you solve this?

A: Given:- lim[1+x]5/x   where x approaches infinity

Q: lim X → 00 (x²+2) sech(x)

A:

Q: lim x+0 v25 + 8x – 5

A:

Q: lim x infty 6x^ 4 +2x^ 2 -8 9+4x^ 3 -2x^ 4

A: We have to find the value of limit

Q: lim (x²+2) sech(x) X → 00

A:

Q: lim tan 2x

A: It is given that, limx→0tan2xx   The objective is to evaluate the given limit. So, Apply the…

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

A:

Q: ら)Lim X:csc Jex メー。

A:

Q: lim (x2 – x')e?* X -

A:

Q: lim x cot 2x /

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

Q: 1. lim 2.lim 25x (cotx)(csc5x) 3x

A: 1. limx→04+x2-4-x23x22. limx→025x3(cotx)(csc5x2)

Q: 18) lim Xcos- X XI

A:

Q: Evaluate the limit.

A:

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

A:

Q: 1. lim + 2 = 3 X00 x

A: Question number 1,Given,           limx→∞x2x+2=3

Q: lim 1_ x>5 x- 2

A:

Q: り Lar Po-S 2x45 fo) =S 2x45 XくO 3-5x 1+4X+x3 find (0) lim fox) (6) lim fa) メー→+0 X -00

A: To find the limits of the given function f(x)

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: lim (s_)( stl 5+g?

A:

Q: lim Un'tl-n):

A: Consider the limit limn→∞n2+1−n

Q: lim (sgn(x² – 1) + [x + 3]) = ? X→-- 2

A: see below the answer

Q: sin 2x 2. lim- X0 2x+x

A:

Q: lim esec x(7/2)+ sec x

A: We will substitute x= h + pi/2

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: e3x + 5e* (с) lim x→0 7e3x – Te™

A: We have to evaluate the given limit.

Q: lim x→>0¯ -3/x 2 x² e

A: This question is based on limits and L' hospital rule

Q: lim 3) x700 9e x/5

A:

Q: lim 6x e-* i

A:

Q: lim infinity ln(3x)/square root 3x

A: Given limit is: limx→∞ln(3x)3x

Q: sin (x-5) lim x→5 x -8x+15 ||

A:

Q: Lim 4 ht X

A:

Q: 5. lim 5ª + 2³ª + [ln(ln x)] ¹⁰⁰ 7ª + 6ª + [ln(ln x)]200 xx 7x

A: To Evaluate: limx→∞5x+23x+[ln(lnx)]1007x+6x+[ln(lnx)]200.

Q: lim                 xx x => 0+

A: Given,

Q: lim ln (x ") 14 6x

A: Given : limx→∞lnx146x

Q: lim Sin(1-Cost) 1- Cast ·

A: limt→0 sin1-cost1-cost

Q: +lim x-0 e -x - 8x ex - e x - sin x

A:

Q: lim h->0 sqrt(1+h)-(1/h)

A: Given function

Q: b) lim xã 00-X

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

Q: lim xx→9

A: We solve this limit by substitution We will plug x=9

Q: 1 – sec(2x) 6. lim x→0

A: Topic:- limit calculation

Q: lim x->5 (square root of x)

A: Given,         limx→5x

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: