Q. 1

# Evaluate the following limits: As we need to find We can directly find the limiting value of a function by putting the value of the variable at which the limiting value is asked if it does not take any indeterminate form (0/0 or ∞/∞ or ∞-∞, .. etc.)

Let Z = (indeterminate form)

we need to take steps to remove this form so that we can get a finite value.

TIP: Most of the problems of logarithmic and exponential limits are solved using the formula and Note: While modifying be careful that you don’t introduce any zero terms in the denominator

As Z Multiplying both numerator and denominator by √(4+x)+2 so that we can remove the indeterminate form.

Z Z {using a2 - b2 = (a + b)(a - b)}

Z Using basic algebra of limits-

Z = Z = 4 Use the formula: Z = 4log 5

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