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Limit of the function/ n2*(5/2+n/2)

Limit of the function n2*(5/2+n/2)

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      /   /5   n\\
 lim  |n2*|- + -||
n2->0+\   \2   2//
lim⁡n2→0+(n2(n2+52))\lim_{n_{2} \to 0^+}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) 
Limit(n2*(5/2 + n/2), n2, 0)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
Rapid solution [src] 
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Expand and simplify
Other limits n2→0, -oo, +oo, 1
lim⁡n2→0−(n2(n2+52))=0\lim_{n_{2} \to 0^-}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) = 0
More at n2→0 from the left
lim⁡n2→0+(n2(n2+52))=0\lim_{n_{2} \to 0^+}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) = 0
lim⁡n2→∞(n2(n2+52))=∞sign⁡(n+5)\lim_{n_{2} \to \infty}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) = \infty \operatorname{sign}{\left(n + 5 \right)}
More at n2→oo
lim⁡n2→1−(n2(n2+52))=n2+52\lim_{n_{2} \to 1^-}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) = \frac{n}{2} + \frac{5}{2}
More at n2→1 from the left
lim⁡n2→1+(n2(n2+52))=n2+52\lim_{n_{2} \to 1^+}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) = \frac{n}{2} + \frac{5}{2}
More at n2→1 from the right
lim⁡n2→−∞(n2(n2+52))=−∞sign⁡(n+5)\lim_{n_{2} \to -\infty}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) = - \infty \operatorname{sign}{\left(n + 5 \right)}
More at n2→-oo
One‐sided limits [src] 
      /   /5   n\\
 lim  |n2*|- + -||
n2->0+\   \2   2//
lim⁡n2→0+(n2(n2+52))\lim_{n_{2} \to 0^+}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) 
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      /   /5   n\\
 lim  |n2*|- + -||
n2->0-\   \2   2//
lim⁡n2→0−(n2(n2+52))\lim_{n_{2} \to 0^-}\left(n_{2} \left(\frac{n}{2} + \frac{5}{2}\right)\right) 
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