Limits Using Series Expansions

JEE Main Mathematics · Limits · 6 questions, latest first

• The value of lim_x → 0((x^2 sin^2 x)/(x^2- sin^2 x)) is:20266 April, Shift 1 · Q17
• If the function f(x)=(e^x(e^tan x-x-1)+ log_e( sec x+ tan x)-x)/(tan x-x) is continuous at x=0, then the value of f(0) is equal to202624 January, Shift 1 · Q17
• Given below are two statements: Statement I: lim_x → 0((tan^-1 x+ log_e √((1+x)/(1-x))-2 x)/x^5)=2/5 Statement II: lim_x →…20258 April, Shift 2 · Q16
• If the function f(x)=(tan ( tan x)- sin ( sin x))/(tan x- sin x) is continuous at x=0, then f(0) is equal to ____.20257 April, Shift 2 · Q25
• lim_x → 0 (e-(1+2 x)^(1/(2 x)))/x is equal to20249 April, Shift 2 · Q5
• lim_x → 0 (e^2| sin x|-2| sin x|-1)/x^2202431 January, Shift 1 · Q6