Suppose fé Ra, b]. Prove that b- a lim b- f(x) dr. k=1

Q: Find the limits lim x²-x² X-21

A:

Q: b For any be R, use definition to prove that lim-=0. n

A:

Q: Let a,=l.cayider the sequeue fany generated It anti= an (a) Shaw that Lim an= Ø ,where Ø= !t v5 x…

A:

Q: Find а) b) a? - an ww. lim lim x→a I – a

A:

Q: Prove using the formal definintion of a function that: limxto2 (5x + 5) = 15

A:

Q: 7.) (DS +403) = 7 %3D m5 + 4m3 = O

A:

Q: 2. Let r > 1. Prove that lim r" = 00,

A:

Q: Let f be entire and suppose that lim 80+z f(z) Z = 0. Show that f is constant.

A: The given problem is to show that if limz→∞f(z)/z = 0 for the entire function f(z), then f(z) is…

Q: 3

A: We are given the function f(x) and we will show that the given limit doesn't exist by epsilon-delta…

Q: 2. Use the Squeeze theorem to show that lim x-0 ² co(+1)²

A:

Q: From the graph determine lim (x) *-2* O 1) 1 O 2) 2 O 3) 3

A:

Q: Evaluat the limit si a. lim (Itx)"-1-nx ー1-nx x2 メ

A:

Q: (c) Prove that lim (√√n) = 1.

A: We have to Prove that the given its limits