Doubtify : One-Stop Solution for all Your Doubts

❓ Concept Limits me jab x → 0 x \to 0 aur expression weird, lengthy, ya scary lage — toh ek hi cheez kaam aati hai 👇 👉 STANDARD APPROXIMATION…

❓ Question Evaluate the limit: lim ⁡ x → 0 + tan ⁡  ⁣ ( 5 x 1 / 3 )   ln ⁡  ⁣ ( 1 + 3 x 2 ) ( tan ⁡ − 1 ( 3 x ) ) 2   [   e 5 x 4 / 3 − 1   ]​ ?…

❓ Question: If the function f ( x ) = tan ⁡ ( tan ⁡ x ) − sin ⁡ ( sin ⁡ x ) tan ⁡ x − sin ⁡ x​ is continuous at x = 0 x=0 , then find the value of …

❓ Question: For t > − 1 t > -1 , let α t \alpha_t ​ and β t \beta_t ​ be the roots of the equation: ( ( t + 2 ) 1 / 6 − 1 ) x 2 + ( ( t + …