8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

Q: Determine whether f(x) = approaches o or - as x approaches - 5 from the left and from the x² - 25…

A: Given that f(x) = x8 / (x2 - 25) = x8 / (x + 5)(x - 5) . Other than x = +5, -5 f(x) is defined…

Q: 3. Using limit, compare the order of the growth of functions. a) n4 & 2n b) log₂n & n c) n³ & log2n…

A:

Q: Show that lim (1 + = e. lim

A: To prove:

Q: Estimate the value of limx→2 x 2 + x − 6 x 3 − 8 to 3 decimal places by making a table with the…

A:

Q: 2.3 Q14

A: The objective of this question is to find the limit of the function f(x) as x approaches 2, given…

Q: If lim f(x) = L, then f(a) = L. A) True B) False

A: We can find the value as below

Q: If (an) has a decreasing subsequence, then (an) does not tend to infinity.

A: False

Q: The given function is: VIXI The given function can be written as: y = y = √x, x ≥ 0 S-√√x, x 0…

A: The function is given as , y=x3

Q: n2 for all n E N. 4n Let r, :=

A:

Q: (c) Prove that lim (√√n) = 1.

A: We have to Prove that the given its limits

Q: a. What is the domain of f? Express your answer in interval notation. f(x)= 1 - x^4 / x^2 - 1  b.…

A: The given function fx=1-x4x2-1. We have to find the domain, limit at x=1 and sketch its graph.