Math / Calculus

Questiond) $\lim _{x \rightarrow 0} \frac{x}{x}$

Studdy Solution

STEP 1

1. The expression $\frac{x}{x}$ is defined for $x \neq 0$ .
2. We are evaluating the limit as $x$ approaches 0, not at $x = 0$ .

STEP 2

1. Simplify the expression $\frac{x}{x}$ .
2. Evaluate the limit of the simplified expression as $x$ approaches 0.

STEP 3

Simplify the expression $\frac{x}{x}$ . Since $x \neq 0$ , we can simplify:
$\frac{x}{x} = 1$

STEP 4

Evaluate the limit of the simplified expression as $x$ approaches 0. Since the expression simplifies to a constant value:
$\lim_{x \rightarrow 0} 1 = 1$
The value of the limit is:
$\boxed{1}$

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