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{tex}\mathop {\lim }\limits_{x \to {2^ - }} f(x) = \mathop {\lim }\limits_{x \to {2^ - }} 2x + 1{/tex}
{tex}\mathop {\lim }\limits_{h \to 0} \left[ {2\left( {2 - h} \right) + 1} \right]{/tex} = 5
{tex}= \mathop {\lim }\limits_{x \to {2^ + }} f(x) = \mathop {\lim }\limits_{x \to {2^ + }} \left( {3x -1} \right){/tex}
{tex} = \mathop {\lim }\limits_{h \to 0} 3\left( {2 + h} \right) - 1{/tex} = 5
In given that question f(x) is continuous at x=2,therefore
{tex} \mathop {\lim }\limits_{x \to {2^ - }} f(x) = f(2) = \mathop {\lim }\limits_{x \to {2^ + }} f(x){/tex}
5 = k
{tex}\Rightarrow k = 5{/tex}
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Akbar, in full Abū al-Fatḥ Jalāl al-Dīn Muḥammad Akbar, (born October 15?, 1542, Umarkot [now in Sindh province, Pakistan]—died c. October 25, 1605, Agra, India), the greatest of the Mughal emperors of India. He reigned from 1556 to 1605 and extended Mughal power over most of the Indian subcontinent.
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Parul Negi 3 years, 2 months ago
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