x? + 4 Find Lim- x-0 2e* + 1 4 А. 3 В. оо 3 D. 4 С. О

Q: 2) Lim 나-13 X+ 1 x=7x+10

A:

Q: 4) evaluate lim x-->2 (2x2 - x - 6) / (x2 - x - 2)

A: Explanation of the solution is given below...

Q: 10х?-3х+1 a) lim x→00 7x2+3x-3

A: Given: limx→∞10x2-3x+17x2+3x-3 For evaluating given limit, we take x2 common then simplify it

Q: 4 ex lim X 4 + 3e*

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

Q: Limx-->9 = X -9/ (X)1/2 -3

A: We will first cancel out the irrational factor at the denominator. And then we will check if the…

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

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

Q: lim et- ハ→0 ¥

A:

Q: [x] +x 3. lim х--1 х+ 2

A:

Q: What is the lim of squared root x^2-4, if x ---> 2 ^+

A:

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

Q: 1) lim (1--)*

A: As per our guidelines we can solve only 1 question. The rest can be reposted.    In question  no 1…

Q: find lim (2 x3 - 3 x + 5) X --> -1 O 6 O none of these answers O 4

A:

Q: iz?-z- lim- z2-1 i o -i O 1 0 -1 0

A: Calculation/ Explanation : Let  A = limz→∞i z2 - zz2 -1 Divide numerator and denominator with z2 we…

Q: Find the limits

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

Q: limx--->2^-     f(x), where f(x)=2x-5 if x <2…

A: limx-&gt;a- f(x) = limh-&gt;0 f(a-h)

Q: Determine the following limits or state that they do not exist.

A: Given f(x)=x-4x(x+2)

Q: у3-у2-у-2 10. lim у-2 2у3-5у2+5у-6

A: Given: L=limy→2y3-y2-y-22y3-5y2+5y-6 For evaluating given limit, we use L hospital's rule According…

Q: 4) lim -。 ,(-1<x<り nや0

A:

Q: 1) lim (1- – - 3,

A: The given limit is limx→∞1-3xx

Q: 4 - VE lim x>16 16x – x?

A: Given: limx→164-x16x-x2

Q: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: lim as x--> 0 of (1-2x)^1/x

A:

Q: lim x---q 1/x - 8

A: Limit of a function is the value that function seems to achieve as function approaches certain value…

Q: V2x2 — х — 1 — Vx — 1 - - - lim x→1 32 - x3 + х — Vx2 +x O A) 2 В) 1 C) none O D) -1 O E) -4

A: we have to evaluate the following limit . For this we can use rationalisation

Q: lim x---q (1 + 2f (x))

A: To evaluate the limit: limx→ q1+2fx

Q: Find the limit.

A: Given: lim∆x→0(x+∆x)2-x2∆x

Q: 1) lim (2x² + x + 4) x--1

A: Given limit, limx→-12x2+x+4

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

A:

Q: 22 – 4z + 4 Find limz→2 z2 – 4

A: limz→2z2-4z+4z2-4     =limz→2(z-2)2(z+2)(z-2)      =limz→2(z-2)(z+2       =2-22+2        =04…

Q: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

A:

Q: If limz→-3+38i (22 + 6z) = x + iy, what is the value of x

A: Given that z = -3 + 38i So, z2 = (-3 + 38i)2 = 9 - 228i + 1444 = 1453 - 228i

Q: 2. | lim х-5а X — а

A: As the limit expression is defined and not of the indeterminate form thus directly substitute x and…

Q: 2-limx-o 6x cot3x

A:

Q: ■ Find the limit.

A: Given- limx→12-xx-12 To find- The value of the above limit.

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: Evaluate, Lim x-->-2+  ((x+2) cot (x2+5x+6))

A:

Q: Find the limits in Exercises 53–54

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

Q: √2+x-√2-x X lim- --0

A:

Q: (a) 1? - 9 lim --3 21? + 7t + 3 (ांच 1 (b) lim t/1 + t 4 lim x--4 4 +E x (c)

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: х3 — а3 lim х--а х4 — а4 x-a

A: Given  limx→ax3-a3x4-a4   We have to evaluate the limit.

Q: lim + 4x - - X00

A:

Q: Find the limit

A:

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

A:

Q: lim h-->inf   10/ (h^2+100)

A:

Q: 25+x-5 4-limx-0

A:

Q: a) lim, 2x-I- 3 222 | -1 312 + 5z + 2 7x +10 b) lim,5 7?-10z + 25

A: We have to find the limit of function.

Q: 1 lim х-2 х — 2

A:

Q: lim (5x+1/5x-1)x  ? x--&gt;infinity

A:

Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -&gt; -4 ^ - and  F(-4)

A: The given piecewise function is,

Q: -4 lim x2 1- COSTX

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.