The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim R, = lim [f(x,)Ax + f(x,)Ax + . . . + f(x,)Ax] n- c0 'n n- 00 Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = 3x cos(3x), 0 S xs A = lim n- 00. i = 1

Q: sin(3x) Evaluate the limit : lim Show x→0 2x + x3 your work.

A:

Q: of Quolients. 17. lim Imit Se -dy

A:

Q: (x)미' In lim x

A: Given: limx→∞1xln(x)

Q: 4) Use L'Hosp9tal's Rule to find the limits c) lim tanx)) メ→0 d) lim (ex + メ メ→ o

A:

Q: Find the one-sided limit

A:

Q: lim (x 1/2 ln x) X→∞

A:

Q: (a) lim (ln(5x³ + 4) — ln(x³ + x + 7)) x→∞

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use L'Hoptials Rukle to find the limit of: Lim as x->-oo for (7(x^2) + 4x) / (9 - 3(x^2))

A: Solve using L'Hopitals rule

Q: Show complete deriviation of Limit of a function as x approaches to 0 and infinity

A:

Q: Advanced Math Question

A: The graph of the function f'(x) is:

Q: lim X-+00 9 eX/5 = 0

A: This question is based on application of Limits.

Q: Use l'Hopital's Rule to evaluate the limit. lim x-0 sin x O 1 O-1

A:

Q: Find the limit "L" The prove how the limit is "L"

A: Given function is

Q: lim (x – arcsin x) csc³ x→0 -1/6 О 113 O 3

A: In the given question we have to find the limit of the function f(x)=(x-sin-1x)csc3x  when x goes to…

Q: Find the limits in Exercis

A: Consider the given limit as limt→4-t-t

Q: evaluate the limit メ Sinx lim メラ - CeSX

A: