Use the definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. 9x x² + 6 lim n → ∞ f(x) n i = 1 1 ≤ x ≤ 3

Q: sol

A:

Q: Evaluate the limit.

A:

Q: a) lim (-3x³ + x² − 2x + 7) X→-1 x4 - 16 c) lim x 2 x² - 4 e) lim √x - 5 x→-5+ b) lim x→1 √x + 2-3…

A: a) limx→−1(−3x3+x2−2x+7)

Q: Evaluate the limit and sketch the graph of the region whose area is represented by the limit

A: The given limit is lim∆→0∑i=1n4-xi2∆x where xi=-2+4in  and ∆x=4n   formula used: A=∫-224-x2dx

Q: Find the limits analytically. Show all work and use proper limit notation. √x² +8-3 1. lim X-1 x+1

A:

Q: -6x 1. Find the limit: lim x-o v64x2-5 3. a. 32 b. -- 4. C. 1 3 d. 4 e. -6 2. Which of the following…

A:

Q: find the cosine of the angle between the vectors. 3i + k, i + j + k

A: Let,u = 3i+kv = i+j+kFormula for finding the cosine of the angle between two vectors is given by -…

Q: 1² lim x-o ln (sec x) x→0 O o O anther answer O 1 02

A:

Q: SEvaluate the limit by rationalizing the numerator. V4+t- V4-t lim t>0 3 (b) lim | t 9+t

A: Given that some limit problem and we solve this problem by using general property of limit.     Here…

Q: Evaluate the limit. lim x→0 O-1 05 07 09 1 -1+x X +1

A: To evaluate the following limit. limx→0 1-1+x+1x

Q: Find the limits in Exercis

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

Q: x² 10 - 5 ≤ f(x) ≤ x6-5 x+1 26

A:

Q: Calculate the limit.

A: limx→∞tan-11+x1-x