Evaluate lim 7(&+h)-}(x) for the given value of x and function f. h h→0 f(x)= +7, x= 10

Q: What can we conclude about lim(x,y)->(0,0) f(x,y) from the given function and its level curve graph?

A: General equation of curve along any c is yx=c. Thus get equation for y2: yx=c  y2x2=c y2=cx2

Q: Compute lim x-T sinx

A:

Q: Guess the value of lim x 0 sinx/x

A: We try to find the limit by substitution  But 0/0 is indeterminate form.

Q: Find: tanx-sinx d) lim x3 4.

A:

Q: Evaluate limx-->2 (sin(x-2))/(x^2+4x-12) Without L'Hospital's rule.

A: limx-->2 (sin(x-2))/(x^2+4x-12)Numerator = sin(x-2)Denominator = x2 + 4x - 12 = x2 +6x - 2x - 12…

Q: Estimate lim→-4 f (x). Estimate lim-→-2 f(x). Where is f(x) discontinuous?

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Rearrange lim x* so that we can apply L'hopital's rule. *→0+

A: Follow the steps.

Q: 3 If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D x-2- limit or one…

A: A limit is the value that a function approaches as the input of that function approaches a certain…

Q: Use a tble of functional values to evaluate: lim 12 z-2

A:

Q: will lim n-00 In(x)dx lim fn(x)dx?

A: Given that, fnx=2n2x;x≤12n2n1-nx;12n<x≤1n0;1n<x where , fnx on 0,1 It is possible to take…

Q: Use a tble of functional values to evaluate: lim x-1

A:

Q: Transform the function lim x+5x² +3- x²) into an equivalent quotients to en apply L'hopital's rule.

A: Given that limx→∞x4+5x2+3−x2. Multiply x4+5x2+3+x2 by numerator and denominator both…

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: If limx→0+ ƒ(x) = A and limx→0- ƒ(x) = B,find limx→0+ ƒ(x3 - x)

A: Given: limx→0+fx=A,limx→0-fx=B we have to find limx→0+fx3-x we know that if x∈0,1 then x3&lt;x

Q: 1 lim x→11-x .3 —х 1-х*

A:

Q: x-sin 2x Find lim 2х

A:

Q: 1) lim (1- – - 3,

A: The given limit is limx→∞1-3xx

Q: Use a tble of functional values to evaluate: lim 2²–1| x-1

A: Given, We will calculate the value at some points and then will calculate the limit of given…

Q: 4 – x lim X → 4 5- Vx² +9

A: We have to find the limit

Q: Find lim Sin (X+2) X->2 x4x-2

A: Explained below

Q: : limx->0(1/x3)

A: We have to simplify the given expression. The given expression is limx→01x3∫0xt2t4+1dt

Q: How do I find the derivative using the formula: Lim h-> 0 F(x+h) - F(x) / h?  Please show the…

A:

Q: Find lim tanx-x x2 sinx X

A:

Q: csc x- cot x lim is

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: Fird the domain of f (x) = 2-Vx2-5 Solve lim x→-3 =? (Don't use L'hopital Rule) x+3

A:

Q: correspondig limit x' +x -8x-12 a) lím x* +4x' +5x + 4x +4

A:

Q: Evaluate lim-[(sinx-x)/x³] by u

A:

Q: 3) lim (x² + 1) X--1

A: Limit is a basic concept of calculus  which shows the behaviour of a function  when it tends to that…

Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: 1) lim-sinxr x-0

A: given equation is     limx--&gt;0  (x-sinx) / x³ ** L hospital rule =&gt;    limx--&gt;0  f(x) /…

Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: 4- lim Vsin x

A:

Q: - lim SinTX メー→ メ ー」

A: We need to evaluate limx→ 1sinπxx-1.

Q: Qz tanx) lim メ→(室-x)

A: the solution is given below

Q: If lim f(x) = - infinity x-->-1+ and lim f(x)=-infinity x-->-1-, what can you say about lim f(x)…

A: answer

Q: 3- If lim f(x) = 3.5 and lim,2+ f(x) = 6.5 , the function has a double sided x-2- limit or one sided…

A:

Q: 1f. lim (tanx)x x-&gt;0+

A: Given,

Q: Calculate lim-x+sin x x0 -1+ cos x

A:

Q: 2tanx-sin2x 6. lim X0 x3

A:

Q: Evaluate: lim --> 0 (x-tanx)/xsin2x

A:

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: If lim f"(x) = +0, then the trapezoid estimation Tn - | f(x)dx x0* can never be within 10-³ of the…

A: Given that limx→0+f''(x)=+∞ And Tn≈∫01f(x)dx Error for trapezoidal method contains double…

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

A:

Q: Evaluate limx=0 (e-ax - e-bx)/x

A:

Q: B) Without using L'Hopital's rule, find: lim 3-Vx2+9 x2

A:

Q: Estimate lim 16 4 is approaching to using a table of functional values.

A: We will use the L. Hopital's rule to find the limit of the given function. to find limx→ 4(16x-4x-4)

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.