lim x en(x) こ メーPO* ot

Q: Vx2+3 lim X-

A: limx→∞x2+3x=limx→∞x2(1+3x2)x=limx→∞x(1+3x2)x                         =limx→∞ (1+3x2)     =1

Q: limx→∞x3+26x2−x=

A:

Q: 5 Lim 34 +7 y?_2

A:

Q: Which of the constants in the equation f(x) = a * x ^ 2 + bx + c can be interpreted geometrically?

A: If x=0 then  f(x)=ax2+bx+cf(0)=a(0)2+b(0)+cf(0)=c This means the point is (0,c). This means the…

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: Limit メ+5 メ→-5 |Jx-っ-4

A: To findlimx→-5x+5|x2-9|-4

Q: lim (-In x) : 1|

A: Property of limit: limx→akfx=klimx→afx Calculation: The limit can be obtain by using the above…

Q: Find the eign value and eignve u(x)= ^ Duct) ラ7ラロ x st +/ whele と (めと)=8(はリx

A:

Q: fs=メー4 f(3)3= %3D

A: Substitute the value of x in given equation

Q: Give examples of calculus in general economics.

A: Give examples of calculus in general economics.

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: limx→1 10x−9x−10(x2−1)

A: Given,             limx→110x-9x-10x2-1

Q: fim Sin (x-1) メキX-2 2

A: We have to evaluate limx→1sinx−1x2+x−2. If we substitute the limit then it is of the form 00, which…

Q: lim ×ャ6x+ メー

A:

Q: Algebra (x-1/x)^7. find the 3 terms.

A:

Q: -limx¬o 6x cot3x

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

Q: 2log_

A:

Q: Evaluate

A: We will factor 36 first 36=2x2x3x3 Then use it to simplify Used sqrt(-1)=i  Answer(a): 6i

Q: -2 -1 0 1 3 5 6

A:

Q: If ƒ (x, y) = x³y5 + 2xy, then what is the second coordinate of Vf? (Remember to use * for…

A:

Q: Find A if possible. If not, write “not defined". 1 8. A= 1 6 A- ) 3 1 9. А%3 9. 3

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.