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AAKASH INSTITUTE-LIMITS AND DERIVATIVES -Section - B
- m,n in I^(+), then lim(x to 0) ("sin"x^(n))/(("sin"x)^(m)) equals
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- The value of lim(x to (pi)/(4)) ("sin" x - cos x)/((x - (pi)/(4))) eq...
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- The value of lim(x to 0) ("sin" (pi cos^(2) x))/(x^(2)) equals
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- The value of lim(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals
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- The value of lim(theta to (pi)/(2)) (sec theta - tan theta) equals
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- The value of lim(x to oo) (sqrt(x^(2) + x + 1) - sqrt(x^(2) - x + 1)) ...
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- The value of lim(x to 0) ((1)/(x^(2)) - cot x) equals
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- The value of lim(h to 0) {(1)/(h(8 + h)^(1//3)) - (1)/(2h)} equals
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- The value of lim(x to oo) {sqrt(x+ sqrt(x + sqrt(x))) - sqrt(x)} equa...
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- lim(x to 2) (([x]^(3))/(3) - [(x)/(3)]^(-3)) is where [x] represents t...
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- underset(x to 2)(Lt) {[x - 2] + [2 - x] - x} = where [.] represents gr...
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- If {x} denotes the fractional part of x, then lim(x to 0) ({x})/(tan ...
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- The least integer n for which lim(x to 0) ((cos x - 1) (cos x - e^(x))...
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- Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...
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- underset(x to 0)(Lt) (sqrt(1 - cos 2 x))/(sqrt(2)x) =
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- The value of lim(x to 0) ("sin" alpha X - "sin" beta x)/(e^(alphax) -...
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- The value of lim(x + (pi)/(2)) ({1 - tan (x)/(2)}{1-"sin"x})/({1 + ta...
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- The value of lim(x to oo) ((4^(x) - 1)^(3))/("sin"(x)/(4) log (1 + (x...
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- If 0 lt alpha lt beta then lim(n to oo) (beta^(n) + alpha^(n))^((1)/(n...
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- lim(x to 0) ("sin" (nx)((a - n)nx - tanx))/(x^(2)) = 0 when n is a no...
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