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_{x---0}( 1- cosx cos2x cos3x) /(sin^{2 }2x) = ?lim x tends to 1

{1/( x

^{2}+x-2) - x/ (x^{3}-1)} is evaluated to bea)1/9

b)9

c)-1/9

d) none of these

If y = x^{(logx)}^{then dy/dx is}Q) lim

_{x→1}_{}[x³+2x²+x+1÷ x²+2x+3]_{}^{1-cos(x-1) ÷ (x-1)² }_{=}(ans:( 5/6)

^{1/2)}find dy/dx if y = cos [logx]

^{2 }Q) Let < a

_{n}> be a sequence such that a_{1}=1 and a_{n+1}= cos a_{n}; n>=1. If a = lim_{n---}∞ a_{n }then a belongs to the interval..?^{4}x-0

lim(x tends to a) cosx - cosa/cotx - cota

how to solve derivative of sin

^{3x }using first principle?lim x tends to zero log cosx to the base sinx whole divided by log cos(x/2) to the base sin (x/2). find the limit

find the derivative of sin(x+a)/cosxURGENT!!!!!!!

how to find limit of x----9

x

^{3/2}-27/x-9limln{(x^{2}+ 1)^{1/2}- x} / x (where x tends 0)2. Evaluate

lim n^{2}{(a)^{1/n}^{}- (a)^{1/1+n}} (where n tends to infinity) ( a >0 , n=N)^{2}x / dy^{2 }= ????^{n}+ 5^{n})^{1/n }is equal to.......lim(x-0) x*log(sin x)=A) -1 B) log e1 C) 1 D) None of thesethe answer is Bplease explain me how

Ltx tends to 0tan

^{4}x - sin^{4}x / x^{6}=a] 1

b]2

c]3

d]4

Lim (x approaches1) [(ln(1+x) - ln2)(3.4

^{x-1}- 3x)] / [(7+x)^{1/3 }- (1 + 3x)^{1/2}]sin(x-1)^{b/x}= e^{4}where a and b are natural numbers then values of a and b = ?lim[(x+6)/(x+1)]

^{ x+4 }is equal tox tends to infinity

^{2}y/dx^{2}=??Q ) lim_{x--- infinity}(1+ 1/(a+bx)^{})^{c + dx}= where (a,b,c,d>0)_{}

(ans:1/12)Q) lim_{n→}1/n^{4 }[1²+(1²+2² ) +.... + (1²+2²+...+n²)]=^{x}-1_{4}5=a and log_{5}6=b, then log_{3}2 isequal to:(i) 1/ (2a+1)

(ii) 1/(2b+1)

(iii)2ab+1

(iv) 1/(2ab-1)

lim_{x->0 (1- Cos2x)}^{2}/(2xtanx-xtan2x)Lim

_{x-0}x^{6000}-(sinx)^{6000}/100.x^{2 }(sinx)^{6000.}integrate dx / Xcos

^{2}(1 + logx )_{10}x with respect to x.Q) lim_{x--- 2a} (√ (x-2a) +√x -√ 2a) / (√ x^{2}- 4a^{2}) = ?lim[1/6+1/6

^{2}+1/6^{3}+...1/6^{n}] is where x tends to infinity isa)1/5

b)1/6

c)-1/5

d)none of these

the function f(x)= { 0 , if x is irrational

{ 1 , if x is rational is :

a) continuous at x=1

b) discontinous only at 0

c)discontinous only at 0, 1

d) discontinous everywhere

in lesson limits n derivatives class 11 ncert que 28 ,plz tell how you calculated the value of a=0 n b=4 ??

Find the limit of sin7x / tan3x as x tends to zero. plz answer soon...

Lt

Sin [cos x]x--o 1+ [cos x]

let f,g,h are differentiable functions. If f(0 )=1; g(0)=2; h(0)= 3 and the derivatives of their pair wise product at x=0 are-

(fg)' (0)=6; (gh)'(0)=4; (hf)'(0)=5

then compute the value of (fgh)'(0)

(1) 0

(2) a

(3) b

(4) c

Find: lim n tends to infinity a^n/n! where a is constant.

what would beLIMIT [1 / x-2 - 12 / x

^{3}+8][X-TENDING TO (-2) ]Find the derivative of the following functions (it is to be understood that

a,b,c,d,p, q,randsare fixed non-zero constants andmandnare integers): (ax^{2}+ sinx) (p+qcosx)this is question on limits of greatest integer (example 2) Please explain this ,, urgent !

thanks in advance

Find the derivative of the following functions (it is to be understood that

a,b,c,d,p, q,randsare fixed non-zero constants andmandnare integers): (ax+b)^{n}(cx+d)^{m}lim ( x tends to 0) e

^{1/x}/ e^{1/x+1}Find the derivative of the following functions (it is to be understood that

a,b,c,d,p, q,randsare fixed non-zero constants andmandnare integers): (x+ secx) (x– tanx)valuate

k

PLEASE,HELP ME I CAN NOT UNDERSTAND THIS QUESTION SOLUTION^{th}term of the numeratorIF X^{2}^{}+ Y^{2}^{}=9 AND 4a^{2}^{}+ 9b^{2}=16 then the minimum value of 4a^{2}x^{2 }+ 9b^{2}y^{2}-12axyb isEvaluate

Lim x - 0 e^x - e^5 / x - 5

lim h tends to 0 (a +h)^2sin(a+h)-a^2sina whole divided by h

URGENT!!!!!!!!

how to find the limit of x---4

x

^{3}-6^{4}/x^{2}-16If

f(x) =.For what value (s) of a does

f(x) exists?limx tends to 0 sin^2x(1-cos square x) whole divided by x^6

_{x tends to 0}([f(x)]+x^{2})^{1/{f(x)}}) is equal to, (where[.] denotes greatest integer function and{.} fractional part)=???if x3+y3=3axy, show that

d2y/dx2 = 2a2xy/(ax-y2)2

lim(y tends to 0) (a+h)

^{2}sin(a+h) - a^{2}sina / hsolve the limit without using l- hospital rule

What is Hospital Rule...?????

how to differentiate (sin2x) under root using product and qoutient rule.

how to solve synthetic division?????solve lim(x tends to 1)[

3x]^{3}+5x-8[2x3+x-3]

que 30 ncert - as limit of a function exists for all real nos. right!!! then in this que the limit should exists for both negative and positive real nos. for a0 but why it is considered for only a0

limit n tends to infinity cos[pi(n^2+n)^1/2]

explanation of L-hospital"s rule with example

a) 9/4 ft/s b) 17/4 ft/s c) 13/4 ft/s d) none

Find the derivative of the following functions (it is to be understood that

a,b,c,d,p, q,randsare fixed non-zero constants andmandnare integers): (ax+b) (cx+d)^{2}