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The image contains a series of limit problems labeled 31 to 50. I'll go through a few of them and solve them for you.

### Problem 31:
\[
\lim_{x \to \infty} x + 1 = \infty
\]
As \( x \) approaches infinity, \( x + 1 \) will also approach infinity.

### Problem 32:
\[
\lim_{x \to -\infty} 3x + 1 = -\infty
\]
As \( x \) approaches negative infinity, \( 3x + 1 \) will also approach negative infinity.

### Problem 33:
\[
\lim_{x \to \infty} 3x + 1 = \infty
\]
As \( x \) approaches infinity, \( 3x + 1 \) will also approach infinity.

### Problem 34:
\[
\lim_{x \to 0^+} \frac{1}{x} = \infty
\]
As \( x \) approaches 0 from the positive side, \( \frac{1}{x} \) will approach infinity.

### Problem 35:
\

This page provides detailed solutions to calculus limit problems, focusing on limits involving infinity and exponential functions. Suitable for undergraduate students studying calculus, these problems cover key concepts such as limits, infinity, and rational functions.

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