12.C. Let ri 1, x2 = V2 + x1 ,. . ., Xn+1 V2 + xn , ... . Show that the sequence (x,) is monotone increasing and bounded. What is the limit of this sequence?

Q: How many injective functions have domain {a,b,c} and codomain [100]?

A:

Q: (4+h)2-16 lim h→0 Compute h

A:

Q: 5k+1 Lik=1 (-6)k 00

A: limit is -25/11 see below the calculation

Q: Suppose that a 0. Prove f() is bounded. that the function } : [a, b] → R defined by () (x) = =

A:

Q: 6. Show that the following sequences of sets, {C& }, are non-increasing, (1.2.17), then find lim-»∞…

A: * SOLUTION :-  (6) Given sequence of sets , {CK}, non- increasing, (1.2.17),

Q: Evaluate the limit lim 5*+2+[In CInx) メつ0 プ+6+ (nx)0 200 100

A:

Q: jasper feed his dog 2/3 of a can of dog food each day work out how many cans of dog food are eaten…

A: To convert improper fraction into mixed fraction , divide numerator by denominator we get quotient…

Q: 2 2 - Let S₁ = 3x₁² x₁ + 3x₂² Ax₂ +...+ 3x² Ax, where the Ax;, fill out the x-interval from x = -2…

A: Given that Sn=3x12∆x1+3x22∆x2+...+3xn2∆xn, where the ∆xi fill out the x-interval from x=-2 to x=6…

Q: 7.   The function is decreasing on the following intervals:

A: Ans:

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n Ilm (-1)²

A: We have to find a formula for the sum of n terms. Also, we have to find the limit n→∞.…

Q: 5. For the following sequences find the limit superior, the limit inferior and determine whether…

A:

Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: 1. Graph f(x) = 3-* over the interval [-2, 2] y. 7 -8- -7+ 6+ -5-

A: The given function is:f(x)=3-x

Q: 3-√I lim I-9 T-9

A:

Q: what is the limit as n goes to infinity of enn! divided by nn?

A: Since e^n > n And rate of convergence (e^n × n!) > rate of convergence (n^n)

Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: 10 Monday lim 20 315 5 에요 글

A:

Q: □ O 5 16 0_5 4 4n²5n+6 no 5n²+ 4n+7' 27. Evaluate the limit of lim

A:

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: x+6x tq 4) lim X→-3 x+3

A: Given, limx→-3x2+6x+9x+3 when x tends to -3 then the given function takes the form 00, which is…

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.