f(2) is continuos if lim f(z)=f(z)

Q: Find the limit: 5x - 5y | lim (*,y) (5,5) y?

A:

Q: 2/ Find the value of the limit: lim x/*,

A:

Q: Evaluate the limit: lim_ (x - ln x)* x→0+

A: Using L Hospitals rule , Value of given limit is evaluated.

Q: lim x² ln x x-0*

A:

Q: Vx2 – 9 4. lim х-з х — 3 X→3

A: Given limx→3x2-9x-3

Q: Find a Limit using factoring:

A: We have to find the limit using factoring: limx→1x2+2x-3x-1 This is 00 indeterminate form of limit.…

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Find the limit. lim etan x x-(1/2)+

A: 0 is answer

Q: Evaluate the limit: lim (x - ln x)* x→0+

A:

Q: Prove using formal definition. (a) lim x→0+ 1/x = ∞.

A: Draw the graph of the function .

Q: In evaluating 5 dx , is same as evaluating_lim_(in(f(x))). Determine the value of f(x) if x=4.6. -

A:

Q: 2. Show function f(x,y) = does not have limit of a function at point (0,0). 2² + ?

A: We need to show that the function does not have limit at point (0,0)

Q: Find the limit of the equation.

A: Limit x-> pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: Find the limit. lim sech(x) X -0

A: To find limit: limx→-∞sechx Solution: We know that sechx=2ex+e-x Therefore,…

Q: Use the graph in Figure to find each of the following:

A: Limit L of a function at x=a is the value that a function approaches from both the left hand side…

Q: Find the limit. sin 5x lim X0 3x

A:

Q: Evaluate the limit: sinx lim x→0 e4x – 1

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given:  fx=x,x≤11-x,x>1 we have to find limx→1+fx we know that when x>1, fx=1-x

Q: explain why the limits do not exist.  lim (x approaches 0)  x/|x|

A:

Q: Find lim f(x) and determine if continuous at x =2 エ→2

A: We have to check

Q: 6. Calculate limit: lim tg x X→0 2-V4+3x

A: Here we have to calculate Limit =limx→0 tgx2-4+3x

Q: Evaluate the limit. limx→2 e^x^2−e^4/ x^2 −2x

A:

Q: X- Zx +3x+2 lim

A: Solution of question as follows

Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

A:

Q: By using the precise definition of the limit of a function show that lim (x,y)→(0,0) 3xy2 /(2x2+ y2…

A: If value of a function at some point is in indeterminate form then we use concept of limit to find…

Q: sec(x) – sec(a) lim x - a

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: When trying to explain an infinite limit. What does it mean to say that: lim as x approaches 0…

A:

Q: Evaluate limx=0+ e(1/x)

A:

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

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

Q: • lim In (tanx) -Lーえ • Lim V9x* + ax 2 4x-1

A:

Q: of

A:

Q: Find the limits limx→0(ex + x)1/x

A: Consider the given limit as limx→0ex+xx

Q: sin 2x lim

A: Consider the given function, limx→∞sin2xx since is a continuous periodic function, as sin2x∈-1,1. as…

Q: 2x cos. X 17) lim --

A:

Q: Find the limit. sin(x) – 9x lim x+00 x+xe-x

A:

Q: Find the limit. lim etan x→(3t/2)+ х

A:

Q: Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x…

A:

Q: If there is no single value that is approached by f(x) as x approaches a, then lim f(x) does not X→a…

A: If there is no single Value that is approached by f(x) as x approaches a,then limit of f(x) as x…

Q: f(x+Ax)-f(x), Ff(x) = v2x + 1, what is the lim Дх--0 Ax

A:

Q: Find the specified limit. f(x) - x+2, x > -1 lim f(x) ?

A: The given function is            f(x) = x2,  x<-1x+2, x>-1 We have to find the following…

Q: Find the limits limx→0+x tan (π/2 - x)

A: Given that, f(x)=x tan (π/2 - x) We have to find, limx→0+xtanπ2-x

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: Evaluate the limit. x2 – 2x + sinr lim

A:

Q: Evaluate the limit: sinh x2 – x2 lim x→0 sinhx − x

A:

Q: Find the limits limx→∞(1 + 2x)1/(2 ln x)

A: Given, limx→∞1 + 2x12lnx We know that, limx→ac·fx=c·limx→afx⇒12limx→∞1+2x1lnx Now,…

Q: Find the limits limx→0+sin x . ln x

A: The given limit is: limx→0+sinx·lnx  Consider "h" is a too small positive real number,  Then,…

Q: Find the limit. lim etan x x-(9x/2)+

A: We have to find the given limit

Q: Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative.  lim x-->0…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.