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3 1 $begingroup$ I'm trying to compute this limit without the use of L'Hopital's rule: $$lim_{x to 0^{+}} frac{4^{-1/x}+4^{1/x}}{4^{-1/x}-4^{1/x}}$$ I've been trying to multiply by the lcd and doing other creative stuff... anyone have any suggestions on theorems or techniques? calculus limits limits-without-lhopital share | cite | improve this question edited 7 hours ago Foobaz John 22.9k 4 15 52 asked 7 hours ago Kevin Calderon Kevin Calderon