Below you will find example sentences with "approaches infinity". The examples show how this phrase is used in natural context and which words often surround it.

Approaches Infinity in a sentence

Corpus data

  • Displayed example sentences: 10
  • Discovered as a combination around: approaches
  • Corpus frequency in the collocation scan: 6
  • Phrase length: 2 words
  • Average sentence length: 24.7 words

Words in this phrase

approaches infinity

Meanings of words in this phrase

  • approaches can mean: Movements to gain favour; advances. Frequent word
  • infinity can mean: endlessness, unlimitedness, absence of a beginning, end or limits to size. Less frequent word

Sentence profile

  • Phrase position: 1 start, 6 middle, 3 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Usage patterns

These patterns show short text windows around the phrase in the example sentences:

1 and approaches infinity as v 1× apparent height approaches infinity as the 1× as n approaches infinity of this 1× as x approaches infinity 1× as x approaches infinity y approaches 1× maximum degree approaches infinity i e 1× present value approaches infinity with the 1× the dice approaches infinity the probability 1×

Sentence openings and endings

Common sentence openings:

a flat hierarchy 1× as x approaches 1× based on this 1× conversely the apparent 1× in particular approaches 1× it starts at 1×

Common sentence endings:

a moderate span 1× approaches 50 percent 1× at the present 1× experimentally verified implications 1× limit is approached 1× sierpinski triangle citation 1×

Context words

These words often appear near this phrase in the example sentences:

present 3× towards 2× rate 2× return 2× net 2× value 2× cash 2× flow 2× dice 2× sides 2× probability 2× zero 2×

Related phrases

different approaches season approaches

Phrases around this combination

Other phrases discovered around approaches:

different approaches 11× season approaches 7×

Just before it in the phrase index:

applied sciences applied materials application layer application form application fees application fee

Just after it in the phrase index:

approval rating approximately billion april file aptly titled arab countries arab emirates

Corpus analysis

  • The phrase "approaches infinity" has 2 words and usually appears in the middle in these examples. The average sentence has 24.7 words and is mostly made up of statements.
  • Around this phrase, patterns and context words such as 1 and approaches infinity as v, apparent height approaches infinity as the, present, towards and rate stand out.
  • In the phrase index, this combination connects with different approaches, season approaches, different approaches and season approaches, linking the page to nearby combinations.

Example types with approaches infinity

This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:

Short example sentences

As x approaches infinity, y approaches zero. (7 words)

In particular, approaches zero when approaches infinity. (7 words)

This probability approaches 1 as the total string approaches infinity, and thus the original theorem is correct. (17 words)

Longer example sentences

Towards a rate of return of 100% the net present value approaches infinity with the sign of the last cash flow, and towards a rate of return of positive infinity the net present value approaches the first cash flow (the one at the present). (44 words)

Conversely, the apparent height approaches infinity as the angle of incidence (from below) increases, but even earlier, as the angle of total internal reflection is approached, albeit the image also fades from view as this limit is approached. (38 words)

A 'flat hierarchy' is a branching hierarchy in which the maximum degree approaches infinity, i.e., that has a wide span. citation (registration required) Most often, systems intuitively regarded as hierarchical have at most a moderate span. (37 words)

Example sentences (10)

Towards a rate of return of 100% the net present value approaches infinity with the sign of the last cash flow, and towards a rate of return of positive infinity the net present value approaches the first cash flow (the one at the present).

Based on this computation and simulations of dice with more than six sides, the team conjectured that as the number of sides on the dice approaches infinity, the probability that approaches 50 percent.

As x approaches infinity, y approaches zero.

In particular, approaches zero when approaches infinity.

It starts at 1 and approaches infinity as v approaches c. Special relativity has many counterintuitive and experimentally verified implications.

This probability approaches 1 as the total string approaches infinity, and thus the original theorem is correct.

A 'flat hierarchy' is a branching hierarchy in which the maximum degree approaches infinity, i.e., that has a wide span. citation (registration required) Most often, systems intuitively regarded as hierarchical have at most a moderate span.

Conversely, the apparent height approaches infinity as the angle of incidence (from below) increases, but even earlier, as the angle of total internal reflection is approached, albeit the image also fades from view as this limit is approached.

More precisely, the limit as n approaches infinity of this parity -colored 2 n -row Pascal triangle is the Sierpinski triangle. citation.

Then the conjecture is that : in the sense that the quotient of the two expressions tends to 1 as x approaches infinity.