Sentence:  If a variable v takes on successively a series of values that <WSD>approach</WSD> nearer and nearer to a constant value l in such a manner that |v - l|[To be read "the numerical value of the difference between" v "and" l] becomes and remains less than any assigned arbitrarily small positive quantity, then v is said to <WSD>"approach</WSD> the limit" l, or to "converge to the limit" l. Symbolically this is written / : limit v = l, or, v ·= l. 
Meaning of the word marked with <WSD> tags:  To come near to in place, time, character(,) or value; to draw nearer to.