Hyperbolic trig limits, part 5

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