lim f(x) 6. f(0) 7. X→2- lim f(x) 5.

Q: Find the limit.

A:

Q: evaluate the limit.

A: Given:

Q: lim x-->-1, lim x-->-1+, lim x-->-1-,

A:

Q: lim x--> negative 0.      f(x) lim x--> 4.      f(x) lim x--> positive 0.      f(x) lim x--> 2.…

A:

Q: lim x approaches 4  ...........  (4 - x)/[5 - (x^2 + 9)^1/2]

A: Givenlim x→44-x5-(x2+9)1/2

Q: i. f(0) = 0, f"(x) 0, f"(x) > 0 for x < 0, lim f(x) = 1, lim f(x) X-00 -1,

A: Topic = Function As per guidelines, At a time only one question can be answered out of different…

Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: lim                                          (9x/(9x+8))^9x x approaches  infinity using…

A: Given, We have to calculate the limit.

Q: lim x- Vx x-0

A:

Q: lim x approaches 2 .............. 2x + 5/[11 - x^3]

A: here we have to find the limit.  A=limx→22x+511-x3

Q: Calculus Question

A: Option e is false .  Please rate helpful and feel free to ask any query about any part.

Q: lim [(x²-In(x + 1)) cot x] x-0-

A:

Q: V-x – 2 – V3 te lim x--5 -x - 5

A:

Q: Sketch the graph of an example of a function f thatsatisfies all of the given conditions.

A: As f(0) = 3, so there is closed circle at the point (0, 3). The left-hand limit, right-hand limit,…

Q: LIMITS lim f(x) ахт + ... lim x→0 bx" +... X00 х3 — 2х2 + 3х — 4 lim х3 — 2х2 + 3х — 4 lim х-00 4x3…

A:

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: lim of xx^(1/2) as x approaches 0+

A: Given a function:

Q: lim 1/x^2 - 1 = infinity x--> 1+, M = 1000, find largest δ > 0

A: Use the definition of limit

Q: 25 using a table of - 3. Evaluate lim x→25 Va – 5 - functional values.

A: We have to evaluate the given limit: limx→25x-25x-5 Since given limit has 00 indeterminate form so…

Q: lim x-0+ \x 1 = lim x2, 1 lim x0+ x2 1 = +0 - (+0) = 0 - - - -- %3D x-0+ x

A: It is infinity minus infinity type of indeterminate form.    To solve it first convert it into 0/0…

Q: lim x approaches 5  ........ x - 5/[ x2 - 25]

A: Limit of the function is value that function seems to approach as x approaches certain value.

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

A:

Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: 2. lim f(x) and lim f(x) if f(x) = V4-x2 %3D X-2+ X→2- х-2

A:

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: Sketch the graph of a function with the given limits.

A: Given that,

Q: (x² – 2, x 0, x→0*

A: Given, fx=x2-2,    x&lt;02-x2,    x≥0

Q: Find the limit

A:

Q: LIMITS lim f(x) X→a x² + 9 lim х-з х2 + 2х — 15

A:

Q: lim f(x) given f (x) x 3

A: Given information: The funtcion is fx=x-1       if  x&lt;32x-3     if x≥3. Calculation: Evaluate the…

Q: 6. lim f(x) = , lim f(x) = 0, lim f(x) = -∞, %3D X-2- lim f(x) = 0, lim f(x) = 0, f(0) = 0 X→文

A: Proceed as shown

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: limit of x to infinity Square root(x^2-2x+1)-x

A:

Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

A:

Q: lim.                          x^5 x --> - infinity

A:

Q: Find the limits

A: To determine: limx→∞ x2+3+x

Q: 34. lim 2-x 35. lim vx -x 36. lim vx-x 140

A:

Q: lim ecos x = x→0

A:

Q: f -3 -2 -1 -2 -3 2.

A:

Q: Find the limits

A: Given as L=limx→∞x2+x-x2-x

Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: f(2) = lim x--> 1-      (1/f(x))= lim x-->1-       (f(1+x))=

A:

Q: \lim_(x->-\infty )(x^(2)+ x - 5)/(1-2x-x^(3))

A:

Q: 3. lim- im:-) (x+r)²

A: Given: limt→02t5(x+t)2-5x2

Q: Lim x--->2 x^2+5x+6/x+2

A:

Q: 1. lim f(x) : x→2 2. lim f(x) x→2+ 3. lim f(x) = x→2 4. lim f(x) = x→0 5. f(0) =

A:

Q: lim f(x+h)- f(x) where f(x)=4- 2x-x h

A:

Q: lim x→8 f(x) = 4  and limx→8  g(x)=8   , evaluate limx→8  f(x) +g(x)  /7f(x)   Limit =

A: Given,

Q: lim tan x x- ->

A:

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

A: we have to find limit.

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.