# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\lim_{x\to919191919991}\left(\cos\left(\frac{x}{x}\right)\right)$

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to2147483647}\left(\cos\left(1\right)\right)$

Learn how to solve limits by direct substitution problems step by step online. Evaluate the limit of cos((x/x)) as x approaches 2147483647. Simplify the fraction \frac{x}{x} by x. The cosine of 1 equals \frac{181}{335}. The limit of a constant is just the constant.

$\frac{181}{335}$$\,\,\left(\approx 0.540302\right)$
$\lim_{x\to919191919991}\left(\cos\left(\frac{x}{x}\right)\right)$

### Main topic:

Limits by direct substitution

### Time to solve it:

~ 0.04 s (SnapXam)