Home
Class 11
MATHS
The value of lim(x rarr 1)(2-x)^(tan((pi...

The value of `lim_(x rarr 1)(2-x)^(tan((pix)/2))` is (a) `e^(-2/pi)` (b) `e^(1/pi)` (c) `e^(2/pi)` (d) `e^(-1/pi)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(x rarr a) (2- a/x)^(tan ((pi x)/(2a))) is:

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

The value of lim_(x rarr 0) (1-cos2x)/(e^(x^(2))-e^(x)+x) is

lim_(x to pi/2) (tan2x)/(x-(pi)/(2))

lim_(x->1)(1-x^2)/(sin2pix) is equal to (a) 1/(2pi) (b) -1/pi (c) (-2)/pi (d) none of these

lim_(x->1)(1-x^2)/(sin2pix) is equal to (a) 1/(2pi) (b) -1/pi (c) (-2)/pi (d) none of these

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (2pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

(lim)_(xrarr0)(sin(picos^2x)/(x^2)) is equal to (a) -pi (b) pi (c) pi/2 (d) 1

The value of lim_(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2 c. e^(-2) d. 1

The value of x satisfying the equation cos(lnx)=0, is (A) e^(pi//2) (B) e^(-(2009)pi//2) (C) e^(1000pi) (D) e^(-3pi//2)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...

    Text Solution

    |

  2. Evaluate the following limits using sandwich theorem: ("lim")(xvecoo)(...

    Text Solution

    |

  3. The value of lim(x rarr 1)(2-x)^(tan((pix)/2)) is (a) e^(-2/pi) (b) e...

    Text Solution

    |

  4. Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...

    Text Solution

    |

  5. lim(x->0)(sinx)^n/(sinx)^m,(mltn), is equal to (a)1 (b) 0 (c) n//m ...

    Text Solution

    |

  6. If (x^2+x−2)/(x+3) <= (f(x))/x^2 <= (x^2+2x−1)/(x+3) hold for a certai...

    Text Solution

    |

  7. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

    Text Solution

    |

  8. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

    Text Solution

    |

  9. ("lim")(xvec0)((x+y)sec(x+y)-xsecx)/yi se q u a lto secx(xtanx+1) (b...

    Text Solution

    |

  10. Evaluate : ("lim")(xrarroo) 1/(1+n^2)+2/(2+n^2)+...+n/(n+n^2)

    Text Solution

    |

  11. If L=lim(x-&gt;2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

    Text Solution

    |

  12. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

    Text Solution

    |

  13. If L=lim(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L)...

    Text Solution

    |

  14. If [dot] denotes the greatest integer function, then find the value of...

    Text Solution

    |

  15. If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...

    Text Solution

    |

  16. If 3-((x^2)/(12))lt=f(x)lt=3+((x^3)/9) for all x!=0, then find the val...

    Text Solution

    |

  17. If f(x)={x-1,xgeq 1 2x^2-2,x<1,g(x)={x+1,x >0-x^2+1,xlt=0,a n dh(x) ...

    Text Solution

    |

  18. Evaluate the limits using the expansion formula of functions ("lim")(x...

    Text Solution

    |

  19. lim(xrarrinfty),where (2x-3)/xltf(x)lt(2x^2+5x)/x^2,is

    Text Solution

    |

  20. Evaluate the limits using the expansion formula of functions lim(x->0)...

    Text Solution

    |