limx→∞(7x+84x+3)\lim_{x\to\infty}\left(\frac{7x+8}{4x+3}\right)x→∞lim(4x+37x+8)
limx→∞(exx2)\lim_{x\to\infty}\left(\frac{e^x}{x^2}\right)x→∞lim(x2ex)
limx→∞(ln(x)x)\lim_{x\to\infty}\left(\frac{ln\left(x\right)}{\sqrt{x}}\right)x→∞lim(xln(x))
limx→−∞(x3ex)\lim_{x\to-\infty}\left(x^3e^x\right)x→−∞lim(x3ex)
limx→∞(xsin(πx))\lim_{x\to\infty}\left(xsin\left(\frac{\pi}{x}\right)\right)x→∞lim(xsin(xπ))
limx→∞(x2e−x)\lim_{x\to\infty}\left(x^2e^{-x}\right)x→∞lim(x2e−x)
limx→infinity(1−cos(x)x2)\lim_{x\to infinity}\left(\frac{1-\cos\left(x\right)}{x^2}\right)x→infinitylim(x21−cos(x))
The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.
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