Limits of Exponentials
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Problems 8
- Let fff be a continuous real-valued function such that f(x+y)=f(x)f(y)f(x+y) = f(x) f(y)f(x+y)=f(x)f(y) for all reals x,yx,yx,y, and f(0.5)=ef(0.5) = ef(0.5)=e. Find f(ln5)f(\l…
- Evaluatelimx→23x\lim_{x\to2}{3^x}x→2lim3x
- Evaluatelimx→−210x\lim_{x\to-2}{10^x}x→−2lim10x
- Evaluatelimx→5122x\lim_{x\to5}{\frac12^{2x}}x→5lim212x
- Evaluatelimx→332x−5x\lim_{x\to3}{3^{2x}-5^x}x→3lim32x−5x
- Evaluatelimx→333x−27x\lim_{x\to3}{3^{3x}-27^x}x→3lim33x−27x
- Evaluatelimx→π4cos(x)\lim_{x\to\pi}{4^{\cos(x)}}x→πlim4cos(x)
- Evaluate, limx→0+esinx\lim_{x\rightarrow0^+}e^{\sin{x}}x→0+limesinx