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\[\lim_{x \to 0^+} \left\{ 1 + \tan^2 \sqrt{x} \right\}^{1/2x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \left( \cos x \right)^{1/\sin x}\]
Concept: undefined >> undefined
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\[\lim_{x \to 0} \left( \cos x + \sin x \right)^{1/x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \left( \cos x + a \sin bx \right)^{1/x}\]
Concept: undefined >> undefined
If two variates X and Y are connected by the relation \[Y = \frac{a X + b}{c}\] , where a, b, c are constants such that ac < 0, then
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 0} \frac{\sqrt{1 - \cos 2x}}{x} .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 0^-} \left[ x \right] .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 0^+} \left[ x \right] .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 1^-} x - \left[ x \right] .\]
Concept: undefined >> undefined
\[\lim_{x \to 0^-} \frac{\sin \left[ x \right]}{\left[ x \right]} .\]
Concept: undefined >> undefined
\[\lim_{x \to \pi} \frac{\sin x}{x - \pi} .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to \infty} \frac{\sin x}{x} .\]
Concept: undefined >> undefined
\[\lim_{x \to \infty} \left\{ \frac{3 x^2 + 1}{4 x^2 - 1} \right\}^\frac{x^3}{1 + x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\sqrt{1 - \cos 2x}}{x} .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 0^-} \left[ x \right] .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 0^+} \left[ x \right] .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 1^-} x - \left[ x \right] .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to 0^-} \frac{\sin \left[ x \right]}{\left[ x \right]} .\]
Concept: undefined >> undefined
Write the value of \[\lim_{x \to \pi} \frac{\sin x}{x - \pi} .\]
Concept: undefined >> undefined
\[\lim_{x \to \infty} \frac{\sin x}{x} .\]
Concept: undefined >> undefined
