Express each limit as a definite integral. n 3 lim 5 + n→∞ n n lim 2.

Q: Use the graph to evaluate the limit. lim f(x) X→0 6 Ay

A: Consider the graph

Q: Find the Wronskian for the set of functions.{ex2, e−x2}

A:

Q: Find the constant a such that Va ax +4-2 lim

A:

Q: Find the limit L. L = √x-7-1 lim X→8 X-8

A:

Q: Evaluate. lim (tan 2x)* x→0-

A:

Q: Find the limit of the function as x approaches 2+.* -5 -4 -3 -2 -1 O 1 DNE Option 5

A: What is the limit of function as x approaches to 2+

Q: Part. f. True or False: g(x) = In(x-1) is continuous for x > 1. 4 x +22

A:

Q: Evaluate each limit or state why it does not exist. 1. lim t→5 3√4x+7= 2. limx→2

A: 1limx→5 34x+7 =34x5 +7 = 327 =  93 And if question is limx→5 34x+7 = 320+7 = 65+72limx→2 x-2x2-4 =…

Q: 2² –4 if æ 3

A: The given function isf(x)=x2-4x-1if x<2ax2-bx+1if 2≤x<34x-a+bif x≥3

Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

A:

Q: Eind the value of the constant c that makes the following function continuous on (-o, ∞). if y €…

A: By using conditions of continuous function.

Q: Let h(x) = x for rational numbers and h(x) = 0 for irrational numbers. Show h is continuous at x = 0…

A:

Q: Describe the geometric meaning of lim 7n-04 DO NOT EVALUATE OR SIMPLIFY.

A: Given: An expression limn→∞∑i=1nsin2π+π2niπnn To find: Geometric meaning of a given expression and…

Q: Part. b. True or False: lim x →∞ 2x 3e +5e 2x e -e -X = 3.

A: We will use concept of limit.

Q: Find the one-sided limit. lim (2x + 7) X→-4+

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.