Find the limit. 1. lim┬(x→-1)⁡〖(2x^2-x-3)/(x+1)〗 2 lim┬(h→0)⁡〖(√(2+h)-√2)/h〗 3. lim┬(x→5^+ )⁡〖(x-5)/(x^2-25)〗 4. lim┬(x→0^- )-〗⁡〖3/x〗 5.lim┬(x→0)⁡〖(-〖2x〗^3+3x-1)〗 6. lim┬(x→3)⁡〖(x+1)/(x-3)〗 7.?(?)={?3 +3 ?≤2 ? > 2   lim┬?→2 ?(?)

Q: Find the limit of limx->-1 (x3-2x2+5)

A: Since this is a polynomial function,we can calculate the limit by direct substitution. We have The…

Q: What does it mean when we say a limit is in an indeterminant form and what can we do to solve it?

A:

Q: How can the Approaching of  a Limit from One Side be done?

A: In calculus, a one-sided limit is either of the two limits of a function f(x) of a real variable x…

Q: Find the limit at infinity: (root(x^4+3))/(4x^3+x)

A: Divide by highest denominator power of the function:

Q: 6x-18 メ→3 3x²-27 メの

A:

Q: What is the Limit of constant function?

A: The limit of a constant function is constant.   For example: Consider the constant function: In…

Q: find the limit of  limx->-4 [(x2-2x-24)/(x+4)]

A:

Q: 3x² – 9x + 11 lim 7x5 + 2x3 + 4 4.

A: Consider the expression, limx→∞3x2-9x+117x5+2x3+4 Find the limit of the expression. Using this…

Q: Find the limit. (1-)- lim

A: To find the following limit

Q: Evaluate the limit for the graph: lim Ax). 4 2 -4 -2 이 4 -2 -4 2.

A:

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

A:

Q: 1. Carefully explain how you know if a limit exists. What must be true about the left sided limit…

A: Given

Q: Show with the epsilon delta definition that the limit when x --> 4 of (x^3-8x^2+16x+4) = 4

A: we have to show with the epsilon delta definition that the limit when x→4 of x3-8x2+16x+4=4 as we…

Q: find the limit.  lim(x-->2^-)    ln(-1/x-2)

A: Here we have to find the left hand limit at x = 2.

Q: find its limit.

A:

Q: find limit x-->2 (-x2 + 5x - 2)

A:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: given find the limit numerically limx→23x−95x−25

Q: Compute the limits that exist. lim x---2 x/x - 2

A: Explanation: Given that,  limx→2xx-2     Concept Used: If LHL=RHLLim exist.If LHL≠RHLLim doesn't…

Q: Evaluate the limit |x – 4| lim x-4 x- 4 If the limit does not exist enter DNE. Limit =

A: →For existance of limit at any point,         Left hand limit(LHL) and right hand limit(RHL) at that…

Q: Compute the limits that exist. lim x---5, 2x - 10/x2 - 25

A: Given: Compute the limits that exist. limx→5 2x-10x2-25

Q: Find the limit of  limitx->0= x2+4,

A:

Q: What is the limit of x/-x+7 as x--> -7?

A:

Q: limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.

A: Consider the given function (x-2)11 / (3-x).

Q: calculate the limit limx--> ∞ 3x^2+x-1/4x-7

A:

Q: Explain how to convert a limit of the form 0 * ∞ to a limit of theform 0/0 or ∞ / ∞.

A: we have to convert a limit of the form 0 * ∞ to a limit of the form 0/0 or ∞ / ∞

Q: Evaluate the limit for the graph: lim Ax). 4 2 4 -2 0 2 -4 does not exist 4.

A: To evaluate the given limit

Q: Compute the limits that exist. lim x----5 2x2 - 5x - 36/8 - 3x

A: To compute the limit: limx→52x2-5x-368-3x Solution: Evaluating the limit.…

Q: Find the limit by rewriting the fraction first. ху - Зу - 7x+21 lim x-3 (х.у) --(3,6) X+3 ху - Зу -…

A: Factories the numerator and cancel out common term than put the limit.

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: limx→23x−95x−25 Since we have an indeterminate form of type 00 Apply the L' Hospital's rule:…

Q: write on history of limit of functions and its importance of in other science?

A: The limit of a function is a fundamental concept in calculus and analysis. It describes the behavior…

Q: Find the limit lim x---> infinity sqrt(x^2-1)/2x-1

A: Given function is limx→∞x2-12x-1

Q: Use "L'Hopital's" rule to find the limit below. 2x2 – 8 lim х——2 х — Зx + 2 .3

A:

Q: Find the limit  1) lim x--->2   ( x^2-x-6 ) / ( 4-x^2 ) 2) lim x--->0  sqrt(9+2x)-3 / 5x 3)…

A:

Q: Find the limit of the equation.

A: Given limit

Q: limit 1 X 73 X -3

A:

Q: Compute limit as x goes to infinity of (4x^3 +6x-2)/(3x^3 -2x^2+x+1)

A:

Q: how to find the limit as x approaches infinity positive, 7^-x

A:

Q: Find the limit.  lim x--> infinity  ln (3x2-1/x2+1)

A:

Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

A:

Q: х2-2х-3 d) lim lim-3 х2-5х+6

A:

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

Q: x2 + 2x + 1 lim x--2 x2 + x +1

A: There is no need for L hospital as the limit can be evaluated directly.

Q: limit as x approaches infinity of (-1)x+1

A: Apply the limit.

Q: Estimate the limit numerically or state that the limit does not exist:

A:

Q: find the limit of  limitx-> -6- 1/(x+6)

A:

Q: Find the limit if it exists.   lim(x,y) ---> (0,0)     (x4-16y4)/(x2+4y2)

A: Given: limx,y→0,0x4-16y4x2+4y2

Q: a) calculate the limit x--> -7 x^2+6x-7/x+7 without using L Hoputals rule    b) calculate lim x-->…

A: Given: calculate

Q: 7 Find a limit equal to V4x – 3dx. 3

A:

Q: find the limit of  limitx->1(x3-1)/(x-1)

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.