Find lim X→∞ lim X→∞ 1 √x 1 √x X dt dt √√₁

Q: Let f(x) = 1²-16 +4 1²-16 H-4 x > 0 I≤0 Find lim f(1)

A:

Q: 1 — х b. lim х36 (х — 6)2

A: b) limx-6(1-x) /(x-6) 2 a) limx-5 (x-1 sqrt(3x+1))/(x-5).

Q: Let f(x) = -√√√x6 + 14 + x³ +1. Complete the tables below. Round all table values to four decimal…

A: The given function .The aim is to find the function value at the given points and find the limits…

Q: (c) lim v f(x) x→2

A:

Q: Suppose that f(x) = Ax² + Bæ. Find the values of the constants A and B if f(2) = -4 and %3D…

A: We have to use definition of limits.

Q: ff is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² — 11) = 2. x→2 True False

A:

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) — 4g(x)] = −34. zb x-b O False True

A: Given statement

Q: lim z-1 lim 2-0 2x+1+x-2 x-1 log3(x² + 3x + 1) x

A: By using the definition of derivative to evaluate the following limits.

Q: c) If x(0) = 0.5, then find lim x(t). t→∞

A: