I have to find the limit $$\lim_{x\to 0} \frac{\sqrt{x^2+1}-\sin x+\cos x-2}x$$ without using L'Hospital. I know I have to find $-1$, indicated by plotting the graph of the function and by implementing the L'Hospital Rule. However, when I try more traditional approaches such as multiplying/dividing with the conjugate, factorising, etc,I hit a brick wall. Any suggestions?
2026-04-09 06:22:15.1775715735
Limit without l'Hospital for a function with denominator $x$
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