Limits of Logarithmic functions as variable approaches infinity Questions and solutions

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Latest Math Questions

Oct 26, 2025

Evaluate $5\cos{x}$ $-$ $12\sin{x}$, if $5\sin{x}$ $+$ $12\cos{x}$ $=$ $13$

Oct 11, 2025

Evaluate $\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{\sqrt{1-\cos{2x}}}{x}}$

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Evaluate $\dfrac{1}{\log_{2}{30}}$ $+$ $\dfrac{1}{\log_{3}{30}}$ $+$ $\dfrac{1}{\log_{5}{30}}$

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Evaluate $\displaystyle \large \lim_{x \,\to\, 2}{\normalsize (x^3-5x+6)}$ by Direct substitution

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Factorize $8x^3-\dfrac{1}{27y^3}$

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Evaluate $\displaystyle \int{\dfrac{\sin{x}}{\sqrt{3+2\cos{x}}}}\,dx$