# Hyperbolic trig limits, part 5

Calculus Level pending

Evaluate $$\displaystyle \lim_{x \rightarrow 0} \dfrac{\text{sech}(2016x)-37x-1}{x}$$.

If the answer cannot be inputted into the solution box, select the correct option below and input the number of the option that best fits the correct answer:

• Limit DNE, by approaching $$+ \infty$$ on both sides of zero: Input 1234

• Limit DNE, by approaching $$- \infty$$ on both sides of zero: Input 4321

• Limit DNE, by not approaching the same value from left and from right of zero, but not approaching $$\pm \infty$$ on either side: Input 1324

• Limit DNE, by approaching $$-\infty$$ from the left of zero, and $$+ \infty$$ from the right of zero: Input 1243

• Limit DNE, by approaching $$+\infty$$ from the left of zero, and $$- \infty$$ from the right of zero: Input 3241

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