lim x → 0 48 x 4 ∫ 0 x t 3 t 6 + 1 d t is equal to

Question

lim x &#8594; 0 48 x 4 &#8747; 0 x t 3 t 6 + 1 d t is equal to

Aicharya · Accepted Answer

Let L = lim x &#8594; 0 48 &#8747; 0 x t 3 1 + t 6 d t x 4 &#8594; 0 0 Applying L'hospital rule, we get L = lim x &#8594; 0 48 x 3 1 + x 6 4 x 3 &#8658; L = lim x &#8594; 0 12 1 + x 6 &#8658; L = 12

lim x &#8594; 0 48 x 4 &#8747; 0 x t 3 t 6 + 1 d t is equal to

Solution

lim x → 0 48 x 4 ∫ 0 x t 3 t 6 + 1 d t is equal to