$ \lim _{x \rightarrow 2} \frac{3^{x}+3^{3-x}-12}{3^{-\frac{x}{2}}-3^{1-x}} $ is equal to

Question

$ \lim _{x \rightarrow 2} \frac{3^{x}+3^{3-x}-12}{3^{-\frac{x}{2}}-3^{1-x}} $ is equal to,

MARKS App · Accepted Answer

Let, 3 x 2 = t , x → 2 ⇒ t → 3 lim t → 3 t 2 27 t 2 - 12 1 t - 3 t 2 = lim t → 3 t 4 + 27 - 12 t 2 t - 3 lim t → 3 t 2 - 3 t + 3 t - 3 t - 3 = 6 × 6 = 36

Search any question & find its solution

Looking for more such questions to practice?