1. \( \lim _{x \rightarrow 0}\left(\frac{1}{x \tan x}-\frac{1}{x^{2}}\right) \)
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Step 1: Rewrite the expression inside the limit: \[ \frac{1}{x \tan x} - \frac{1}{x^2} = \frac{x^2 - x \tan x}{x^2 \cdot x \tan x} = \frac{x - \tan x}{x^3 \tan x} \] Show more…
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