Prove that the equation z+3+2ez=0 has exactly one root in the left half plane. Also check for the function eiz+z2+2 has

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answerhappygod
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Prove that the equation z+3+2ez=0 has exactly one root in the left half plane. Also check for the function eiz+z2+2 has

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Prove that the equation z+3+2ez=0 has exactly oneroot in the left half plane. Also check for the functioneiz+z2+2 has necessarily one zero also in theleft half plane where Im z >0
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