Find limx∞ h(x), if it exists, f(x) = 5x3 − 3                                                            (a) h(x) = f(x)/x2                                                                                                (b) h(x) = f(x)/x3                                                                                                    (c) h(x) = f(x) /x4

Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: SOLVE BY LIMIT DEFINITION x-1 d) limx→3 6-2x

A: To find: Value of the limit, d limx→3x-16-2x

Q: Find the limit. lim x→-2 x2-4/x+2

A:

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

A:

Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  7x2…

A: The given expression of the limit is: limx→+∞7x2+10x-12x2-2x

Q: V2x + 10 + Vx² – 5x + 10 lim - X→-1 x² + 1

A:

Q: Estimate the limit numerically for lim- x-4 x2-3x-4 3.9 3.99 3.999 4 4.001 4.01 4.1 x – 4 x2 – 3x –…

A: Given :   limx-->  ( x-4)/( x2-3x-4)

Q: find the limit of g(x) as x approaches the indicated value.

A: limx→13x2+1gx=∞

Q: Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

A:

Q: If −x2 − x + 1 ≤ g(x) ≤ x2 − x + 1 for all x does not =0, what is lim x→0 g(x)?

A:

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

Q: Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

A: It is given that limx→0x1+3x-1 It is known that if we have limx→af(x)g(x), and after plugging the…

Q: Let F(x) = (x2 + 3x + 2)/(2 - | x | ). Make tables of values of F at values of x that approach c =…

A: Given: Fx=x2+3x+22-x To determine: We have to estimate limx→-2Fx by making a table of values of F at…

Q: calculate the limit limx→0  x3-3x2+x-5

A: To evaluate , limx→0 x3-3x2+x-5

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: Consider the given function:

Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

A:

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

A:

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

A:

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: ® Find Lim X->2 x¥ _ 2x² - 8 x² - 4 (2 ,X +2 Lim 3X X→3 X- 3 -3 X+3 O Lim © Lim t- fo -) ,X EO X+2 2

A: "Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: メ-D4 xー12 In do torminate Form Lim | १ - 3

A: Given:   Limit equation is given

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: Find the value of * lim - 1 - 1 1 +x

A: Let us take f(x)=x11+x-1. Then we have to find limx→0f(x).

Q: V2x –1 Using defination of limits, prove that lim Vx- 3 L^ = X4

A:

Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

A:

Q: 3* –1 lim V1+x -1,

A:

Q: 3. Find the limit of +2x+3 lim X-2 V x+5

A: As per Bartleby guidelines, we will solve only first question To find the limit of limx→2x2+2x+3x2+5

Q: . Is it possible that f(2) = 5 but limx→2 f(x) = 7? If so, what kind of function can satisfy this?

A:

Q: of

A:

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: The given limit of expression is lim x→∞+5x2+5x-42x2-3x Divide the expression by highest denominator…

Q: Determine the infinite limit. x2 + 6x lim x-3 x2 – 6x + 9 8

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  4x5…

A: Given, limx→∞+4x5+50x44000x7+3 Dividing x7 on both numerator and denominator…

Q: Evaluate the limit 5 + 2x lim 8 – 8x x → 0

A: We haven the function is: f(x) = (5 + 2x)/(8 - 8x)  Dividing the numerator and the denominator by x…

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: How do you solve question 5 and 6?

A:

Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

A:

Q: Find the limit of the function algebraically. x2 + 2x lim

A:

Q: alignment at x² + x – 1 limx→ 2x2 — х + 1 has a horizontal at???

A: Topic = Limits

Q: Determine a reasonable estimate for lim hx x-1 3 -5 -4 -3 -1 3 5 2. 1 4. 1. 1. 2. ee

A:

Q: lim(x,y)->(0,0)  (4x2y)/(x2+y2)1/2

A: Given: lim(x,y)→(0,0)4x2yx2+y2         (1) To compute: The limit.

Q: Calculate the limit:

A: We have to find the limit: limx→22x2-6x+1 Since this is simple determinate limit so we just have to…

Q: Use e-5 definition and prove that lim (2 5r) -6

A: Here we use basic definition of epsilon and delta .

Q: Find the limit. lim(v² + x = x) = lim( Vx2 + x – x

A:

Q: Evalvate the limity lim -> x²

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.