লিমিট
limx→∞(x1+x)x=? \lim_{x \to ∞} \left ( \frac{x}{1 + x} \right )^{x} = ? limx→∞(1+xx)x=?
limx→∞(x1+x)x=limx→∞(11+xx)x=limx→∞(11+1x)x=1e \lim _{\mathrm{x} \rightarrow \infty}\left(\frac{\mathrm{x}}{1+\mathrm{x}}\right)^{\mathrm{x}}=\lim _{\mathrm{x} \rightarrow \infty}\left(\frac{1}{\frac{1+\mathrm{x}}{\mathrm{x}}}\right)^{\mathrm{x}}=\lim _{\mathrm{x} \rightarrow \infty}\left(\frac{1}{1+\frac{1}{\mathrm{x}}}\right)^{\mathrm{x}}=\frac{1}{\mathrm{e}} limx→∞(1+xx)x=limx→∞(x1+x1)x=limx→∞(1+x11)x=e1
If the function f(x)=(1−x)tanπx2f(x) = (1 - x)\tan \dfrac{{\pi x}}{2}f(x)=(1−x)tan2πx is continuous at x=1x = 1x=1 ,then f(1)=f(1)=f(1)=
limx→0xtan2x−2xtanx(1−cos2x)2 \displaystyle \lim _{x \rightarrow 0} \dfrac{x \tan 2 x-2 x \tan x}{(1-\cos 2 x)^{2}} x→0lim(1−cos2x)2xtan2x−2xtanx is equal to
এর সঠিক মান কোনটি?
নিচের সীমার মান কোনটি? limx→ysinx−sinyx−y\lim _{x \rightarrow y} \frac{\sin x-\sin y}{x-y}limx→yx−ysinx−siny
এর সঠিক মান কোনটি?