solve using L'Hopital's Rule 7. Lim    1/(tan-1)2  -  1/x2    x->0

Q: lim X->2 x²+3x-10 x²-4 = ?

A: To Find :The above limit

Q: Lim X+2 2.

A: Limit

Q: The slope of the tangent line to the graph of the function y = 2x3 at the point (2, 16) is lim2"…

A:

Q: Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!

A: Please see the below picture for detailed solution.

Q: V7x* +4x' -x² -2 lim x³ - 2x² -3x+1 4x-x²-2 x -0

A: Solution:

Q: b)lim X118 5x3+x2 3- 15x2

A: Given limit, limx→ -∞ 5x3+x2-23-1.5x2

Q: '5x2+3х-1) lim = 4x2+5) n-00

A: Divide the numerator and denominator by the highest power i.e. x^2 and simplify the limit.

Q: solve using L'Hopital's Rule 4. Lim    [ (sqrt root of 2+x2) / x ] π   x->∞

A: To find: The limit of limx→∞2+x2xπ. Calculation: The limit of limx→∞2+x2xπ apply L'Hospital rule.…

Q: Lim x-> 1x-1/((√x+3)-2)

A: Given an expression in variable x, where we need to find its Limit value when x tends to 1 as shown…

Q: 2-4x3 3. lim X→0- 5x²+3x³

A: To evaluate: limx→0-2-4x35x2+3x3

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

A:

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: x+1 If f(x) = Solve to find lim f(x)? %3D Vx2+5-x'

A: Here is complete computation for your limit

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: sin? x+sin 2x -2 1= lim Q3/ Find the value of (x) if 5 1 2 3x 1 X→0

A:

Q: 2tanx-sin2x 6. lim X0 x3

A:

Q: 1. lim x-2 (2x + 3)

A: 1. To find the given limit limx→ 22x+3

Q: 2 Q5/ Solve Lim,1 (; ;). x2-1 x4-1

A:

Q: Find Lim 5e*-2x x-0 A. 5e C. 5 D. 0 B.

A: Solution

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.