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Chapter 14: Q. 4 (page 903)

The area under the graph of f from a to b is denoted by the
symbol ___________.

Short Answer

Expert verified

The area under the graph of f from a to b is denoted by the
symbol " $\lim_{n \to \infty} \sum_{i = 1}^{n} f (u_{i}) ∆ x$ "

Step by step solution

01

Step 1. Given

The function f from a to b

02

Step 2. Find the symbol

The area under the graph of $f$ from a to b is denoted by the
symbol $\lim_{n \to \infty} \sum_{i = 1}^{n} f (u_{i}) ∆ x$

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Most popular questions from this chapter

The limit of the product of two functions equals the ____ of their limits.

In Problems 53-56, use the properties of limits and the facts that

$\lim_{x \to 0} \frac{\sin x}{x} = 1 \lim_{x \to 0} \frac{\cos x - 1}{x} = 0 \lim_{x \to 0} \sin x = 0 \lim_{x \to 0} \cos x = 1$

$\lim_{x \to 0} \frac{\sin^{2} x + \sin x (\cos x - 1)}{x^{2}}$

Graph each function. Use the graph to find the indicated limit, if it exists.

$\lim_{x \to - 1} f (x), f (x) = x^{3} - 1$

In Problems 7–16, use a table to find the indicated limit.

$10 . \lim_{x \to 0} \frac{2 - x}{x^{2} + 4}$ .

In Problem, graph each function. Use the graph to find the indicated limit, if it exists

$\underset{x \to 1}{l i m} f (x), f (x) = \{\begin{cases} 3 x & i f x \leq 0 \\ x + 1 & i f x > 0 \end{cases}$

See all solutions

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