The limit of the sequence n-th root of 3n+5 as n approaches infinity is 1. This can be determined by using the fact that the nth root of a term that grows linearly with n approaches 1 as n becomes very large. In this case, as n becomes very large, the term 3n+5 dominates the nth root, leading to the limit of 1. **

To set GTA 5 to 1080p with 75 Hz, you will need to first make sure that your monitor supports a refresh rate of 75 Hz at 1080p resolution. Once you have confirmed this, you can go into the game's settings and select the 1080p resolution. Then, you will need to go into your graphics card control panel (such as NVIDIA Control Panel or AMD Radeon Settings) and set the refresh rate to 75 Hz for your monitor. This will ensure that GTA 5 is running at 1080p resolution with a refresh rate of 75 Hz. **

"Every x-th" refers to every item or occurrence that is separated by a specific interval of x. For example, "every 3rd" would mean every third item or occurrence in a sequence. This concept is often used to organize or categorize data, events, or items in a systematic way. **

75b and 75c are typically used to refer to specific sections or subsections within a larger document or text. For example, in a legal document or a book, 75b and 75c could be two different clauses or paragraphs that are sequentially numbered for easy reference. These designations help readers quickly locate and navigate to the specific information they are looking for within the text. **

The n-th root of a number is a value that, when multiplied by itself n times, gives the original number. For example, the square root is the 2nd root, the cube root is the 3rd root, and so on. The n-th root is denoted by the symbol √n, where n represents the degree of the root. **

The situation at TH Köln is currently stable, with a focus on ensuring the safety and well-being of students and staff. The university has implemented various measures to prevent the spread of COVID-19, such as offering online classes, limiting the number of people on campus, and providing resources for remote learning. TH Köln is closely monitoring the situation and following guidelines from health authorities to adapt its policies as needed. **

The "th" sound in English can be pronounced in two ways: the voiceless "th" sound, as in "think" or "math," where the tip of the tongue lightly touches the top front teeth, and the voiced "th" sound, as in "this" or "mother," where the tip of the tongue lightly touches the top front teeth and the vocal cords vibrate. It is important to practice these sounds to ensure proper pronunciation in English. **

To find the n-th derivative of f, we can use the formula for the n-th derivative of a function. We can start by finding the first derivative of f, then the second derivative, and so on, until we reach the n-th derivative. Each time we take a derivative, we decrease the exponent of the function by 1 and multiply by the original exponent. After n iterations, we will have the n-th derivative of f. **