If lim(𝑥→0) (3+𝛼sin𝑥+𝛽cos𝑥+log_𝑒 (1−𝑥))/(3tan^2 𝑥) =1/3, then 2𝛼−𝛽#maths #jee2025 #limits

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If lim(𝑥→0) (3+𝛼sin𝑥+𝛽cos𝑥+log_𝑒 (1−𝑥))/(3tan^2 𝑥) =1/3, then 2𝛼−𝛽#maths #jee2025 #limits

#limit # how to solve of limits in trigonometric identities, limit x→0, sinx,e²-1/x,x/tanx

This is a very famous limit

lim (x → 0) [ sin(π cos²x) / x² ] is equal to | Limit

Monster Integral of x^lnx dx

Q) If lim_(𝑥→0) (sin^(−1) 𝑥−tan^(−1) 𝑥)/(3𝑥^3 )is equal to 𝐿, then the value of ( 6L+1 ) #maths

Limits of Trigonometric Functions | Calculus Tutorial

Q) For 𝛼,𝛽,𝛾∈𝑅, if lim(𝑥→0) (𝑥^2 sin𝛼𝑥(𝛾−1)𝑒^(𝑥^2 ))/(sin2𝑥−𝛽𝑥)=3, then 𝛽+𝛾−𝛼 is #jee #maths #jee