lim x approaches 2/3 .............. (8 - 3s)(2s - 1)

Q: 1) lim x-5 x² – 5x 2) lim x -5 x+6-1 x+5

A:

Q: lim x→-0.5- Vx + 1

A:

Q: lim x approaches 4  ...........  (4 - x)/[5 - (x^2 + 9)^1/2]

A: Givenlim x→44-x5-(x2+9)1/2

Q: lim X--1 メ+ (x+1)2+ 3

A: Let L is the value of given Limit.

Q: Lim (x-2x) X>-1

A: Limit of a function at a point is the value the function tends to as we approach that point. Limit…

Q: lim                                          (9x/(9x+8))^9x x approaches  infinity using…

A: Given, We have to calculate the limit.

Q: lim x approaches 2 (-x^2 + 5x - 2)

A: Given, limx→2-x2+5x-2 To solve the above limit.

Q: lim f(x) X-0 4 3 -2-1

A: The limit of a function at x= a is said to exist if its left hand limit is equal to its right hand…

Q: 7). lims X-1 メ→ド X-1

A: The value of the limit is, 4  The detailed solution is as follows below:

Q: lim x approaches -2  ............. (x + 2)/[(x^2 + 5)^1/2 - 3]

A: The limit approaching to certain point of an expression can be evaluated by applying the limit point…

Q: 1 lim x→2- x – 2

A: The notation indicates that the limit is the value the function approaches to from the left of the…

Q: lim x approaches 1/2 .............. 4x(3x + 4)^2

A: Consider f(x)=4x3x+42=4x9x2+24x+16=36x3+96x2+64 As f(x) is a polynomial, it's continuous on ℝ,…

Q: \lim_(x->-\infty )((13x-2)/(x^(3)+14x-4))

A: Divide the numerator and the denominator by x3.…

Q: 4ー Lim X メ→2 x-4

A: Our Aim is to evaluate the limit in the expression given below:-limx→2 x3-8x2-4-(i)

Q: V-x – 2 – V3 te lim x--5 -x - 5

A:

Q: lim x approaches -3  x + 3 /[x2 + 4x + 3]

A: Given: limx→-3x+3x2+4x+3 Apply the limits. limx→-3x+3x2+4x+3=-3+3-32+4(-3)+3=09-12+3=00 As, it…

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: Lim x approaches to - infinity (5-1/x)

A:

Q: Evaluate lim(1/x)-(1/(ex-1)) as x approaches 0

A: Plug the given limit x=0 in the expression.

Q: x+1 lim V3- х - 2 Evaluate x→-1

A:

Q: 3 - Væ + 5 lim x – 4 - ||

A:

Q: lim x approaches 9 ........ [(x)^1/2 - 3]/(x - 9)

A: limx→9 x-3(x-9)When put x=9, then00 form occur

Q: lim x+1-1

A:

Q: lim of xx^(1/2) as x approaches 0+

A: Given a function:

Q: lim x approaches 5  ........ x - 5/[ x2 - 25]

A: Limit of the function is value that function seems to approach as x approaches certain value.

Q: lim x approaches 1  .... [(x^-1) - 1]/(x -1)

A: Consider a limit limx→afxgx. The conventional evaluation of the limit sometimes lead to…

Q: 13. lim X- 6 3 14. lim X-1 x+1 X-4 15. lim x-2

A:

Q: lim x approaches 2  .......... [x2 - 7x + 10]/[ x - 2]

A: Given :                     limx→2 x2 - 7x + 10x-2

Q: 1 lim x-11-x 1-x 3 m)

A:

Q: 1 lim x-5 I. Find

A: For x->5^+ , x-5 -> 0^+So denominator equals to 0.We can not find the limit by plugging the…

Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: OHence or otherwise find esinx – 1+ In(1 – x) lim x-0 x²sinx

A: (b)-

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: lim x approaches 6 .............. (x^3 - 2x^2 + 4x + 8)

A: We need to lim x approaches 6 .............. (x^3 - 2x^2 + 4x + 8)

Q: 8 lim x-2+ x²-4 x→2+ X x-21

A:

Q: lim Un'tl-n):

A: Consider the limit limn→∞n2+1−n

Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

A:

Q: Find the limit.

A: Limit: x→27lim(x3-1)4We need to find the value of the above limit.Now we should put x=27 at the…

Q: 4. lim 1000 x-1000 5. lim X--2 x

A:

Q: 34. lim 2-x 35. lim vx -x 36. lim vx-x 140

A:

Q: 4) lim X-2 X-2

A:

Q: f -3 -2 -1 -2 -3 2.

A:

Q: lim f (x), where f (x)={18-7x for x<9                                    ={x2-3x for 9 less than or…

A: Explanation is given below..

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

A:

Q: 23 - Vx - 47 Find lim x+ 24 X→-24

A:

Q: x' -x+1 Evaluate (iii) lim 5x' +7 and show work

A: The given limit can be evaluated by taking x3 as common from numerator and denominator

Q: 3. lim- im:-) (x+r)²

A: Given: limt→02t5(x+t)2-5x2

Q: lim f(x) and lim f(x) both --3+ r-3-

A: We have to consider the given statement is true or false according to the given information

Q: lim f(x) = 7 x-9 - ForaI alun

A:

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.