height vs limit

height

noun
  • The highest point or maximum degree. 

  • The vertical distance from the ground to the highest part of a standing person or animal (withers in the case of a horse). 

  • The distance of something above the ground or some other chosen level. 

  • A quality of vowels, indicating the vertical position of the tongue relative to the roof of the mouth; in practice, the first formant, associated with the height of the tongue. 

  • A mountain, especially a very high one. 

  • The amplitude of a sine function 

  • The distance from the base of something to the top. 

  • A high point. 

  • An area of land at the top of a cliff. 

limit

noun
  • The final, utmost, or furthest point; the border or edge. 

  • A restriction; a bound beyond which one may not go. 

  • The cone of a diagram through which any other cone of that same diagram can factor uniquely. 

  • A determining feature; a distinguishing characteristic. 

  • Fixed limit. 

  • The first group of riders to depart in a handicap race. 

  • A person who is exasperating, intolerable, astounding, etc. 

  • A value to which a sequence converges. Equivalently, the common value of the upper limit and the lower limit of a sequence: if the upper and lower limits are different, then the sequence has no limit (i.e., does not converge). 

  • Any of several abstractions of this concept of limit. 

adj
  • Being a fixed limit game. 

verb
  • To restrict; not to allow to go beyond a certain bound, to set boundaries. 

  • To have a limit in a particular set. 

How often have the words height and limit occurred in a corpus of books? (source: Google Ngram Viewer )