Template:Lim

{{lim}} is a template for expressing mathematical limits. Parameters:

• lim (or first argument): The value to express beneath its name.
• expr (or second argument): The expression evaluated within the brackets.
• name (or third argument): The name to replace the lim with. (optional)
• sep: The separation of the subscript part beneath the name, where 0 keeps them the default line width apart. (default -0.5em, which seems to look best on my device)

Example:

• <tt>{{lim|n→∞|n!/(sqrt(2*π*n)*(n/e)ⁿ)}}=1</tt> becomes limn→∞(n!/(sqrt(2*π*n)*(n/e)ⁿ))=1

From Bill Gosper's identity page:

limn→∞(∏2*nk=n(π/(2*atan(k))))=4^1/π