sin(Va-4) lim -16 16(-1)

Q: Find the limit.

A:

Q: evaluate the limit.

A: Given:

Q: lim (1-e X-

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

Q: sin 2. lim- 3x

A:

Q: Find the limits

A:

Q: sin 3x + ax + bx3 lim %3D x3

A:

Q: lim x- Vx x-0

A:

Q: VE -1 lim エ→1 エー1 = 1/2

A:

Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

Q: Lim メーラル sin2x x² 2.

A:

Q: lim x sec(x) csc(x)

A: The given statement is limx→ 0xsecxcscx. Concept used:  power rule:…

Q: lim Sin (x-B) XB (x-B)

A:

Q: Find the limit

A:

Q: lim(Vx +x - x

A:

Q: Lim メー→& 5X 2X+XSin3 X -2X++

A:

Q: sin 2h sin 3h lim h2

A:

Q: 2Tan 'x -x 9. lim, 2x – Sin^x

A:

Q: lim xS0 cos2x - cos x / x^2

A: To find: limx→0 cos2x-cos xx2

Q: lim X → 00 (x²+2) sech(x)

A:

Q: lim f(x) = %3D x-8-

A: We can clearly see from the graph that, f(x) is discontinous at  x = -8  But, if we move slightly…

Q: Find the limits

A: The given expression is limx,y→3,4x2+y2-1

Q: lim- x-0 X

A: Given :limx→05x

Q: lim (x²+2) sech(x) X → 00

A:

Q: limy 2 X- 2

A: Here we have to evaluate limx→21x-12x-2

Q: Lim 1- Cosx て X-)0

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

Q: lim -2 13-x-2

A:

Q: limx-0

A:

Q: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

Q: Find the limit.

A:

Q: lim (-4 0 sin x x

A: Let ,I=limx→ 01sinx-1xTaking cross multilplicationI=limx→ 0x-sinxxsinxI=0-sin(0)0sin(0)I=00Which is…

Q: sin (x-1) lim x+1 x2+2x-3

A: To evaluate: limx→1 sin⁡(x−1)x2+2x−3 The given limit is of indeterminant form 0/0

Q: Calculate the limit.

A: we have to evaluate the given limit limx→∞(2x-x+2)

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

A:

Q: lim (sec³ x – tan n³ x)

A: We have to evaluate the given limit: limx→π2sec3 x-tan3 x We know the identities, sec x=1cos xtan…

Q: (sin(2x)+7x2-2х 3. lim x→0 х4+2х3+x2

A:

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

A: Given:

Q: Find the limits

A: Consider the given function, limx→∞x2+25-x2-1 rationalize the function,…

Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: sin (x-5) lim x→5 x -8x+15 ||

A:

Q: Lim 4 ht X

A:

Q: Find the limits

A: Given as L=limx→∞x2+x-x2-x

Q: sin-1(x) – tan-1(x) lim 3x3

A: The given limit involves inverse trigonometric function as well as cubic function and the limit is…

Q: lim X-3 Sinx X->o

A:

Q: lim Vx2+1-Va²+1 4-, 5- lim 1 x+2 6-, lim sin 3x X-a -

A:

Q: lim Δx-0 x(χ Δx)

A: We have to find the value of: f'x=lim∆x→0-1xx+∆x

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: lim %3D X2 -マメ

A: The solution for the above question is as shown below.

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.