lim 2/x + 1 = 0

Q: tan (xy) lim = ? (х., у) -(1.0) у+ 2ху (b) - (e) (c) 3 (d) - 4 (a) 0 (e) 1

A:

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: x + tan x 2? — 5х — 14 - (а) lim x0 3x + 4x² (b) lim (Do not use L’Hospital rule in part(b)) x7- x2…

A: Using rules of limit's.

Q: What is the value of x - y, if x and y satisfy the following? lim (2² – 52) = x + iy z-2-3i Your…

A: we know that (a+bi) ^2=a^2+2abi+(ib)^2

Q: 3 Find: Lim. 3+1

A: Given limz→1+iz2+1z2-1

Q: Approximate the value of 2x + x lim e" – 1 by substituting in 3 different values of x that get…

A:

Q: tan? 3.x lim x→0 4x2

A: Given: limx→0tan23x4x2

Q: lim x cscx x→0

A:

Q: What is the value of 1 1+ lim T→5 1

A: We have to determine the value of the given limit

Q: lim (х — Vx? + х

A: Consider fx=x-x2+x. Simplify the above function. fx=x-x2+xx+x2+xx+x2+x=x2-x2-xx+x2+x=-xx+x2+x

Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: lim x'e = 0

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: y? a), lim (xy)-(00) x²+y²

A:

Q: Which of the following is/are signified by lim f(x) = 00? %3D

A:

Q: "Find the values of a lim X-2 sin(ax-2a) = 3 X-2

A:

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: c. lim (1-x) tan

A:

Q: 6) Find the limet lim Cう(0)) メye 2. メッリ

A:

Q: Which graphs do not agree with lim f(x)? x1

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Q: B/ Find the value of lim,-.. 1. ²/2 O 1 O 2 7x²+x-100 2x²-5x N NIN

A: To evaluate: limx→∞7x2+x-1002x2-5x

Q: lim,-0 e" = ?

A: Consider the given limit limx→-∞ex.

Q: Solve for the lim[e* + x]%. x00

A: Given,           limx→∞ex+x1x

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

A:

Q: Evaluate: lim tan3x x→0 x

A:

Q: Q \ Find the value of 8 > 0 that guarantee lim x-0 csc(1/x) = 0 in terms of ɛ?

A: Definition of limit: We know that, limx→af(x)=L               ...(i) For each ϵ>0, there exists a…

Q: Example 48 lim,→∞(Vx² +x – Væ² + 5) =?

A:

Q: lim,-1 f(x) =

A:

Q: (a) What is wrong with the following equation? x² + x – 6 x + 3 х — 2 (b) In view of part (a),…

A: We have to explain limx→2x2+x-6x-2=limx→2x+3 is correct or not.

Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

A:

Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

Q: k lim (1+†) k→∞ k

A: We have to find limit

Q: Justification needed * Find lim x2 dt X 00 1/e

A:

Q: Q: find lim 1-cosz

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Q: lim 2. e

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Q: lim (x,y)→(0,0) x² – y? x2 + xy + y? II

A:

Q: lim 2x + 1 -0

A:

Q: i. lim(1 + x)5

A:

Q: Q27. The value of lim x-0 (1+x)5-e5x+sin x² x2 is? →

A:

Q: If f(x) = 4" , then lim %3D (A) 4 (B) ! 1.

A: f(x)=4xlimx→0f(x)-f(0)x-0=limx→04x-40x=00, indeterminate form. Apply l'hospital rule to simplify

Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: 1 lim (2) 1 x 1

A: L'Hospital Rule :  Suppose that we have one of the following cases ,             limx→a f(x)g(x) =…

Q: Exercises: Evaluate x2 – 1 - 1. lim 1- 2x 1 3 2x 2. lim x→2+ x – 2 х? — 4 - -

A:

Q: 2x2+1 lim x→∞ (2-x)(2+x)

A: Try to bring the x in the denominator since x tends to infinity and 1/∞ is 0.

Q: Suppose g(x) is a function. sin(32) If lim 9(x)+ =8, then what is lim g(x) ? Your answer should be…

A:

Q: [x-al (a>o) Lim x+ 80a - la 2

A: From the given problem: limx→a-x-ax2+80a2-9a

Q: What is the solution of lim (3x-2) as x approaches to 2? O 2 O 4 O Undefind Does Not Exist

A: Given: Let y=limx→23x-2 To Find: To evaluate the given limit.

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.